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Finding the Fourth Proportional to 512,084.97, 707,010.12 and 458,277.48

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Solution

The fourth proportional to 512,084.97, 707,010.12 and 458,277.48 is: 632,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,084.97 : 707,010.12 = 458,277.48 : x
  2. Step 2: Convert to fraction form
    512,084.97/707,010.12 = 458,277.48/x
  3. Step 3: Cross multiply
    512,084.97x = 707,010.12 × 458,277.48
  4. Step 4: Simplify right side
    512,084.97x = 324,006,816,128.10
  5. Step 5: Solve for x
    x = 324,006,816,128.10/512,084.97
  6. Step 6: Final answer
    x = 632,720.81

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