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Finding the Fourth Proportional to 374,082.63, 516,234.02 and 204,317.16

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Solution

The fourth proportional to 374,082.63, 516,234.02 and 204,317.16 is: 281,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,082.63 : 516,234.02 = 204,317.16 : x
  2. Step 2: Convert to fraction form
    374,082.63/516,234.02 = 204,317.16/x
  3. Step 3: Cross multiply
    374,082.63x = 516,234.02 × 204,317.16
  4. Step 4: Simplify right side
    374,082.63x = 105,475,468,861.78
  5. Step 5: Solve for x
    x = 105,475,468,861.78/374,082.63
  6. Step 6: Final answer
    x = 281,957.68

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Why These Related Problems?

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