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Finding the Fourth Proportional to 398,423.25, 597,751.92 and 117,947.79

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Solution

The fourth proportional to 398,423.25, 597,751.92 and 117,947.79 is: 176,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,423.25 : 597,751.92 = 117,947.79 : x
  2. Step 2: Convert to fraction form
    398,423.25/597,751.92 = 117,947.79/x
  3. Step 3: Cross multiply
    398,423.25x = 597,751.92 × 117,947.79
  4. Step 4: Simplify right side
    398,423.25x = 70,503,517,932.26
  5. Step 5: Solve for x
    x = 70,503,517,932.26/398,423.25
  6. Step 6: Final answer
    x = 176,956.33

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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.