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Finding the Fourth Proportional to 433,337.76, 649,910.52 and 315,064.80

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Solution

The fourth proportional to 433,337.76, 649,910.52 and 315,064.80 is: 472,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,337.76 : 649,910.52 = 315,064.80 : x
  2. Step 2: Convert to fraction form
    433,337.76/649,910.52 = 315,064.80/x
  3. Step 3: Cross multiply
    433,337.76x = 649,910.52 × 315,064.80
  4. Step 4: Simplify right side
    433,337.76x = 204,763,928,001.70
  5. Step 5: Solve for x
    x = 204,763,928,001.70/433,337.76
  6. Step 6: Final answer
    x = 472,527.31

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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.