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Finding the Fourth Proportional to 409,024.56, 564,449.36 and 227,732.56

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Solution

The fourth proportional to 409,024.56, 564,449.36 and 227,732.56 is: 314,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,024.56 : 564,449.36 = 227,732.56 : x
  2. Step 2: Convert to fraction form
    409,024.56/564,449.36 = 227,732.56/x
  3. Step 3: Cross multiply
    409,024.56x = 564,449.36 × 227,732.56
  4. Step 4: Simplify right side
    409,024.56x = 128,543,497,743.16
  5. Step 5: Solve for x
    x = 128,543,497,743.16/409,024.56
  6. Step 6: Final answer
    x = 314,268.41

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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.