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Finding the Fourth Proportional to 425,713.92, 587,489.16 and 234,734.16

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Solution

The fourth proportional to 425,713.92, 587,489.16 and 234,734.16 is: 323,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,713.92 : 587,489.16 = 234,734.16 : x
  2. Step 2: Convert to fraction form
    425,713.92/587,489.16 = 234,734.16/x
  3. Step 3: Cross multiply
    425,713.92x = 587,489.16 × 234,734.16
  4. Step 4: Simplify right side
    425,713.92x = 137,903,774,481.71
  5. Step 5: Solve for x
    x = 137,903,774,481.71/425,713.92
  6. Step 6: Final answer
    x = 323,935.32

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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.