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Finding the Fourth Proportional to 338,946.73, 508,404.71 and 149,356.38

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Solution

The fourth proportional to 338,946.73, 508,404.71 and 149,356.38 is: 224,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,946.73 : 508,404.71 = 149,356.38 : x
  2. Step 2: Convert to fraction form
    338,946.73/508,404.71 = 149,356.38/x
  3. Step 3: Cross multiply
    338,946.73x = 508,404.71 × 149,356.38
  4. Step 4: Simplify right side
    338,946.73x = 75,933,488,120.60
  5. Step 5: Solve for x
    x = 75,933,488,120.60/338,946.73
  6. Step 6: Final answer
    x = 224,027.80

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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.