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Finding the Fourth Proportional to 424,025.70, 635,819.85 and 157,649.10

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Solution

The fourth proportional to 424,025.70, 635,819.85 and 157,649.10 is: 236,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,025.70 : 635,819.85 = 157,649.10 : x
  2. Step 2: Convert to fraction form
    424,025.70/635,819.85 = 157,649.10/x
  3. Step 3: Cross multiply
    424,025.70x = 635,819.85 × 157,649.10
  4. Step 4: Simplify right side
    424,025.70x = 100,236,427,114.64
  5. Step 5: Solve for x
    x = 100,236,427,114.64/424,025.70
  6. Step 6: Final answer
    x = 236,392.34

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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.