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Finding the Fourth Proportional to 351,639.10, 527,113.05 and 314,314.30

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Solution

The fourth proportional to 351,639.10, 527,113.05 and 314,314.30 is: 471,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,639.10 : 527,113.05 = 314,314.30 : x
  2. Step 2: Convert to fraction form
    351,639.10/527,113.05 = 314,314.30/x
  3. Step 3: Cross multiply
    351,639.10x = 527,113.05 × 314,314.30
  4. Step 4: Simplify right side
    351,639.10x = 165,679,169,331.62
  5. Step 5: Solve for x
    x = 165,679,169,331.62/351,639.10
  6. Step 6: Final answer
    x = 471,162.53

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