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Finding the Fourth Proportional to 600,882.50, 829,217.86 and 332,610.50

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Solution

The fourth proportional to 600,882.50, 829,217.86 and 332,610.50 is: 459,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,882.50 : 829,217.86 = 332,610.50 : x
  2. Step 2: Convert to fraction form
    600,882.50/829,217.86 = 332,610.50/x
  3. Step 3: Cross multiply
    600,882.50x = 829,217.86 × 332,610.50
  4. Step 4: Simplify right side
    600,882.50x = 275,806,567,023.53
  5. Step 5: Solve for x
    x = 275,806,567,023.53/600,882.50
  6. Step 6: Final answer
    x = 459,002.50

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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.