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Finding the Fourth Proportional to 506,732.92, 758,584.02 and 306,447.16

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Solution

The fourth proportional to 506,732.92, 758,584.02 and 306,447.16 is: 458,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,732.92 : 758,584.02 = 306,447.16 : x
  2. Step 2: Convert to fraction form
    506,732.92/758,584.02 = 306,447.16/x
  3. Step 3: Cross multiply
    506,732.92x = 758,584.02 × 306,447.16
  4. Step 4: Simplify right side
    506,732.92x = 232,465,918,550.38
  5. Step 5: Solve for x
    x = 232,465,918,550.38/506,732.92
  6. Step 6: Final answer
    x = 458,754.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.