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Finding the Fourth Proportional to 576,213.23, 864,312.89 and 149,711.31

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Solution

The fourth proportional to 576,213.23, 864,312.89 and 149,711.31 is: 224,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,213.23 : 864,312.89 = 149,711.31 : x
  2. Step 2: Convert to fraction form
    576,213.23/864,312.89 = 149,711.31/x
  3. Step 3: Cross multiply
    576,213.23x = 864,312.89 × 149,711.31
  4. Step 4: Simplify right side
    576,213.23x = 129,397,414,263.23
  5. Step 5: Solve for x
    x = 129,397,414,263.23/576,213.23
  6. Step 6: Final answer
    x = 224,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.