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Finding the Fourth Proportional to 416,894.38, 625,378.47 and 117,377.53

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Solution

The fourth proportional to 416,894.38, 625,378.47 and 117,377.53 is: 176,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,894.38 : 625,378.47 = 117,377.53 : x
  2. Step 2: Convert to fraction form
    416,894.38/625,378.47 = 117,377.53/x
  3. Step 3: Cross multiply
    416,894.38x = 625,378.47 × 117,377.53
  4. Step 4: Simplify right side
    416,894.38x = 73,405,380,123.78
  5. Step 5: Solve for x
    x = 73,405,380,123.78/416,894.38
  6. Step 6: Final answer
    x = 176,076.68

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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.