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Finding the Fourth Proportional to 432,977.48, 649,404.30 and 148,662.71

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Solution

The fourth proportional to 432,977.48, 649,404.30 and 148,662.71 is: 222,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,977.48 : 649,404.30 = 148,662.71 : x
  2. Step 2: Convert to fraction form
    432,977.48/649,404.30 = 148,662.71/x
  3. Step 3: Cross multiply
    432,977.48x = 649,404.30 × 148,662.71
  4. Step 4: Simplify right side
    432,977.48x = 96,542,202,869.38
  5. Step 5: Solve for x
    x = 96,542,202,869.38/432,977.48
  6. Step 6: Final answer
    x = 222,972.80

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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.