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Finding the Fourth Proportional to 255,098.80, 382,648.20 and 227,542.60

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Solution

The fourth proportional to 255,098.80, 382,648.20 and 227,542.60 is: 341,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,098.80 : 382,648.20 = 227,542.60 : x
  2. Step 2: Convert to fraction form
    255,098.80/382,648.20 = 227,542.60/x
  3. Step 3: Cross multiply
    255,098.80x = 382,648.20 × 227,542.60
  4. Step 4: Simplify right side
    255,098.80x = 87,068,766,313.32
  5. Step 5: Solve for x
    x = 87,068,766,313.32/255,098.80
  6. Step 6: Final answer
    x = 341,313.90

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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.