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Finding the Fourth Proportional to 283,593.60, 424,989.45 and 157,289.49

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Solution

The fourth proportional to 283,593.60, 424,989.45 and 157,289.49 is: 235,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,593.60 : 424,989.45 = 157,289.49 : x
  2. Step 2: Convert to fraction form
    283,593.60/424,989.45 = 157,289.49/x
  3. Step 3: Cross multiply
    283,593.60x = 424,989.45 × 157,289.49
  4. Step 4: Simplify right side
    283,593.60x = 66,846,373,845.88
  5. Step 5: Solve for x
    x = 66,846,373,845.88/283,593.60
  6. Step 6: Final answer
    x = 235,711.86

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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.