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Finding the Fourth Proportional to 334,542.96, 461,757.78 and 207,146.16

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Solution

The fourth proportional to 334,542.96, 461,757.78 and 207,146.16 is: 285,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,542.96 : 461,757.78 = 207,146.16 : x
  2. Step 2: Convert to fraction form
    334,542.96/461,757.78 = 207,146.16/x
  3. Step 3: Cross multiply
    334,542.96x = 461,757.78 × 207,146.16
  4. Step 4: Simplify right side
    334,542.96x = 95,651,350,977.12
  5. Step 5: Solve for x
    x = 95,651,350,977.12/334,542.96
  6. Step 6: Final answer
    x = 285,916.50

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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.