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Finding the Fourth Proportional to 256,098.60, 383,273.10 and 224,605.80

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Solution

The fourth proportional to 256,098.60, 383,273.10 and 224,605.80 is: 336,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.60 : 383,273.10 = 224,605.80 : x
  2. Step 2: Convert to fraction form
    256,098.60/383,273.10 = 224,605.80/x
  3. Step 3: Cross multiply
    256,098.60x = 383,273.10 × 224,605.80
  4. Step 4: Simplify right side
    256,098.60x = 86,085,361,243.98
  5. Step 5: Solve for x
    x = 86,085,361,243.98/256,098.60
  6. Step 6: Final answer
    x = 336,141.48

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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.