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Finding the Fourth Proportional to 416,173, 574,314.62 and 225,182.20

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Solution

The fourth proportional to 416,173, 574,314.62 and 225,182.20 is: 310,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,173 : 574,314.62 = 225,182.20 : x
  2. Step 2: Convert to fraction form
    416,173/574,314.62 = 225,182.20/x
  3. Step 3: Cross multiply
    416,173x = 574,314.62 × 225,182.20
  4. Step 4: Simplify right side
    416,173x = 129,325,429,623.76
  5. Step 5: Solve for x
    x = 129,325,429,623.76/416,173
  6. Step 6: Final answer
    x = 310,749.21

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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.