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Finding the Fourth Proportional to 472,517.38, 708,774.70 and 117,531.42

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Solution

The fourth proportional to 472,517.38, 708,774.70 and 117,531.42 is: 176,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,517.38 : 708,774.70 = 117,531.42 : x
  2. Step 2: Convert to fraction form
    472,517.38/708,774.70 = 117,531.42/x
  3. Step 3: Cross multiply
    472,517.38x = 708,774.70 × 117,531.42
  4. Step 4: Simplify right side
    472,517.38x = 83,303,296,951.07
  5. Step 5: Solve for x
    x = 83,303,296,951.07/472,517.38
  6. Step 6: Final answer
    x = 176,296.79

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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.