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Finding the Fourth Proportional to 458,177.76, 687,101.94 and 158,577.12

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Solution

The fourth proportional to 458,177.76, 687,101.94 and 158,577.12 is: 237,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,177.76 : 687,101.94 = 158,577.12 : x
  2. Step 2: Convert to fraction form
    458,177.76/687,101.94 = 158,577.12/x
  3. Step 3: Cross multiply
    458,177.76x = 687,101.94 × 158,577.12
  4. Step 4: Simplify right side
    458,177.76x = 108,958,646,791.61
  5. Step 5: Solve for x
    x = 108,958,646,791.61/458,177.76
  6. Step 6: Final answer
    x = 237,808.68

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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.