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Finding the Fourth Proportional to 458,562.45, 688,007.70 and 192,404.55

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Solution

The fourth proportional to 458,562.45, 688,007.70 and 192,404.55 is: 288,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,562.45 : 688,007.70 = 192,404.55 : x
  2. Step 2: Convert to fraction form
    458,562.45/688,007.70 = 192,404.55/x
  3. Step 3: Cross multiply
    458,562.45x = 688,007.70 × 192,404.55
  4. Step 4: Simplify right side
    458,562.45x = 132,375,811,915.04
  5. Step 5: Solve for x
    x = 132,375,811,915.04/458,562.45
  6. Step 6: Final answer
    x = 288,675.65

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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.