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Finding the Fourth Proportional to 416,265.63, 574,447.59 and 225,281.13

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Solution

The fourth proportional to 416,265.63, 574,447.59 and 225,281.13 is: 310,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,265.63 : 574,447.59 = 225,281.13 : x
  2. Step 2: Convert to fraction form
    416,265.63/574,447.59 = 225,281.13/x
  3. Step 3: Cross multiply
    416,265.63x = 574,447.59 × 225,281.13
  4. Step 4: Simplify right side
    416,265.63x = 129,412,202,200.98
  5. Step 5: Solve for x
    x = 129,412,202,200.98/416,265.63
  6. Step 6: Final answer
    x = 310,888.51

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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.