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Finding the Fourth Proportional to 416,256.47, 624,001.97 and 149,951.85

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Solution

The fourth proportional to 416,256.47, 624,001.97 and 149,951.85 is: 224,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,256.47 : 624,001.97 = 149,951.85 : x
  2. Step 2: Convert to fraction form
    416,256.47/624,001.97 = 149,951.85/x
  3. Step 3: Cross multiply
    416,256.47x = 624,001.97 × 149,951.85
  4. Step 4: Simplify right side
    416,256.47x = 93,570,249,805.14
  5. Step 5: Solve for x
    x = 93,570,249,805.14/416,256.47
  6. Step 6: Final answer
    x = 224,789.90

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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.