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Finding the Fourth Proportional to 332,152.65, 498,228.98 and 313,781.85

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Solution

The fourth proportional to 332,152.65, 498,228.98 and 313,781.85 is: 470,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,152.65 : 498,228.98 = 313,781.85 : x
  2. Step 2: Convert to fraction form
    332,152.65/498,228.98 = 313,781.85/x
  3. Step 3: Cross multiply
    332,152.65x = 498,228.98 × 313,781.85
  4. Step 4: Simplify right side
    332,152.65x = 156,335,209,499.10
  5. Step 5: Solve for x
    x = 156,335,209,499.10/332,152.65
  6. Step 6: Final answer
    x = 470,672.78

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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.