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Finding the Fourth Proportional to 409,231.38, 564,740.37 and 237,182.70

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Solution

The fourth proportional to 409,231.38, 564,740.37 and 237,182.70 is: 327,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,231.38 : 564,740.37 = 237,182.70 : x
  2. Step 2: Convert to fraction form
    409,231.38/564,740.37 = 237,182.70/x
  3. Step 3: Cross multiply
    409,231.38x = 564,740.37 × 237,182.70
  4. Step 4: Simplify right side
    409,231.38x = 133,946,645,755.60
  5. Step 5: Solve for x
    x = 133,946,645,755.60/409,231.38
  6. Step 6: Final answer
    x = 327,312.74

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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.