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Finding the Fourth Proportional to 458,562.20, 688,007.33 and 192,404.30

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Solution

The fourth proportional to 458,562.20, 688,007.33 and 192,404.30 is: 288,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,562.20 : 688,007.33 = 192,404.30 : x
  2. Step 2: Convert to fraction form
    458,562.20/688,007.33 = 192,404.30/x
  3. Step 3: Cross multiply
    458,562.20x = 688,007.33 × 192,404.30
  4. Step 4: Simplify right side
    458,562.20x = 132,375,567,761.50
  5. Step 5: Solve for x
    x = 132,375,567,761.50/458,562.20
  6. Step 6: Final answer
    x = 288,675.27

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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.