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Finding the Fourth Proportional to 409,405.38, 564,981.66 and 237,425.31

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Solution

The fourth proportional to 409,405.38, 564,981.66 and 237,425.31 is: 327,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,405.38 : 564,981.66 = 237,425.31 : x
  2. Step 2: Convert to fraction form
    409,405.38/564,981.66 = 237,425.31/x
  3. Step 3: Cross multiply
    409,405.38x = 564,981.66 × 237,425.31
  4. Step 4: Simplify right side
    409,405.38x = 134,140,941,757.78
  5. Step 5: Solve for x
    x = 134,140,941,757.78/409,405.38
  6. Step 6: Final answer
    x = 327,648.22

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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.