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Finding the Fourth Proportional to 576,212.73, 864,312.13 and 149,710.80

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Solution

The fourth proportional to 576,212.73, 864,312.13 and 149,710.80 is: 224,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,212.73 : 864,312.13 = 149,710.80 : x
  2. Step 2: Convert to fraction form
    576,212.73/864,312.13 = 149,710.80/x
  3. Step 3: Cross multiply
    576,212.73x = 864,312.13 × 149,710.80
  4. Step 4: Simplify right side
    576,212.73x = 129,396,860,432.00
  5. Step 5: Solve for x
    x = 129,396,860,432.00/576,212.73
  6. Step 6: Final answer
    x = 224,564.39

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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.