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Finding the Fourth Proportional to 332,564.70, 498,847.05 and 314,193.90

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Solution

The fourth proportional to 332,564.70, 498,847.05 and 314,193.90 is: 471,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,564.70 : 498,847.05 = 314,193.90 : x
  2. Step 2: Convert to fraction form
    332,564.70/498,847.05 = 314,193.90/x
  3. Step 3: Cross multiply
    332,564.70x = 498,847.05 × 314,193.90
  4. Step 4: Simplify right side
    332,564.70x = 156,734,700,143.00
  5. Step 5: Solve for x
    x = 156,734,700,143.00/332,564.70
  6. Step 6: Final answer
    x = 471,290.85

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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.