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Finding the Fourth Proportional to 458,375.40, 687,398.40 and 158,775.30

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Solution

The fourth proportional to 458,375.40, 687,398.40 and 158,775.30 is: 238,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,375.40 : 687,398.40 = 158,775.30 : x
  2. Step 2: Convert to fraction form
    458,375.40/687,398.40 = 158,775.30/x
  3. Step 3: Cross multiply
    458,375.40x = 687,398.40 × 158,775.30
  4. Step 4: Simplify right side
    458,375.40x = 109,141,887,179.52
  5. Step 5: Solve for x
    x = 109,141,887,179.52/458,375.40
  6. Step 6: Final answer
    x = 238,105.90

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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.