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Finding the Fourth Proportional to 409,557.68, 565,142.89 and 237,439.76

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Solution

The fourth proportional to 409,557.68, 565,142.89 and 237,439.76 is: 327,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,557.68 : 565,142.89 = 237,439.76 : x
  2. Step 2: Convert to fraction form
    409,557.68/565,142.89 = 237,439.76/x
  3. Step 3: Cross multiply
    409,557.68x = 565,142.89 × 237,439.76
  4. Step 4: Simplify right side
    409,557.68x = 134,187,389,193.19
  5. Step 5: Solve for x
    x = 134,187,389,193.19/409,557.68
  6. Step 6: Final answer
    x = 327,639.78

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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.