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Finding the Fourth Proportional to 587,726.86, 811,006.38 and 329,614.28

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Solution

The fourth proportional to 587,726.86, 811,006.38 and 329,614.28 is: 454,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,726.86 : 811,006.38 = 329,614.28 : x
  2. Step 2: Convert to fraction form
    587,726.86/811,006.38 = 329,614.28/x
  3. Step 3: Cross multiply
    587,726.86x = 811,006.38 × 329,614.28
  4. Step 4: Simplify right side
    587,726.86x = 267,319,284,019.11
  5. Step 5: Solve for x
    x = 267,319,284,019.11/587,726.86
  6. Step 6: Final answer
    x = 454,835.91

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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.