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Finding the Fourth Proportional to 332,575.76, 498,862.20 and 83,257.04

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Solution

The fourth proportional to 332,575.76, 498,862.20 and 83,257.04 is: 124,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,575.76 : 498,862.20 = 83,257.04 : x
  2. Step 2: Convert to fraction form
    332,575.76/498,862.20 = 83,257.04/x
  3. Step 3: Cross multiply
    332,575.76x = 498,862.20 × 83,257.04
  4. Step 4: Simplify right side
    332,575.76x = 41,533,790,139.89
  5. Step 5: Solve for x
    x = 41,533,790,139.89/332,575.76
  6. Step 6: Final answer
    x = 124,885.20

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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.