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Finding the Fourth Proportional to 458,057.95, 687,134.00 and 158,538.04

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Solution

The fourth proportional to 458,057.95, 687,134.00 and 158,538.04 is: 237,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,057.95 : 687,134.00 = 158,538.04 : x
  2. Step 2: Convert to fraction form
    458,057.95/687,134.00 = 158,538.04/x
  3. Step 3: Cross multiply
    458,057.95x = 687,134.00 × 158,538.04
  4. Step 4: Simplify right side
    458,057.95x = 108,936,876,255.87
  5. Step 5: Solve for x
    x = 108,936,876,255.87/458,057.95
  6. Step 6: Final answer
    x = 237,823.35

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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.