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Finding the Fourth Proportional to 537,074.19, 741,147.60 and 295,356.76

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Solution

The fourth proportional to 537,074.19, 741,147.60 and 295,356.76 is: 407,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,074.19 : 741,147.60 = 295,356.76 : x
  2. Step 2: Convert to fraction form
    537,074.19/741,147.60 = 295,356.76/x
  3. Step 3: Cross multiply
    537,074.19x = 741,147.60 × 295,356.76
  4. Step 4: Simplify right side
    537,074.19x = 218,902,953,817.78
  5. Step 5: Solve for x
    x = 218,902,953,817.78/537,074.19
  6. Step 6: Final answer
    x = 407,584.20

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Half scale
Find fourth proportional to 1,074,148.38, 1,482,295.20 and 590,713.52
Double scale
Find fourth proportional to 537,075.19, 741,148.98 and 295,357.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.