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Finding the Fourth Proportional to 402,171.66, 603,397.62 and 252,234.54

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Solution

The fourth proportional to 402,171.66, 603,397.62 and 252,234.54 is: 378,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,171.66 : 603,397.62 = 252,234.54 : x
  2. Step 2: Convert to fraction form
    402,171.66/603,397.62 = 252,234.54/x
  3. Step 3: Cross multiply
    402,171.66x = 603,397.62 × 252,234.54
  4. Step 4: Simplify right side
    402,171.66x = 152,197,721,117.80
  5. Step 5: Solve for x
    x = 152,197,721,117.80/402,171.66
  6. Step 6: Final answer
    x = 378,439.70

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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.