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Finding the Fourth Proportional to 477,178.52, 715,749.08 and 161,635.41

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Solution

The fourth proportional to 477,178.52, 715,749.08 and 161,635.41 is: 242,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,178.52 : 715,749.08 = 161,635.41 : x
  2. Step 2: Convert to fraction form
    477,178.52/715,749.08 = 161,635.41/x
  3. Step 3: Cross multiply
    477,178.52x = 715,749.08 × 161,635.41
  4. Step 4: Simplify right side
    477,178.52x = 115,690,395,194.75
  5. Step 5: Solve for x
    x = 115,690,395,194.75/477,178.52
  6. Step 6: Final answer
    x = 242,446.78

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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.