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Finding the Fourth Proportional to 458,112.44, 687,233.46 and 177,658.04

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Solution

The fourth proportional to 458,112.44, 687,233.46 and 177,658.04 is: 266,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,112.44 : 687,233.46 = 177,658.04 : x
  2. Step 2: Convert to fraction form
    458,112.44/687,233.46 = 177,658.04/x
  3. Step 3: Cross multiply
    458,112.44x = 687,233.46 × 177,658.04
  4. Step 4: Simplify right side
    458,112.44x = 122,092,549,526.02
  5. Step 5: Solve for x
    x = 122,092,549,526.02/458,112.44
  6. Step 6: Final answer
    x = 266,512.19

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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.