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Finding the Fourth Proportional to 275,788.80, 413,683.20 and 256,105.80

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Solution

The fourth proportional to 275,788.80, 413,683.20 and 256,105.80 is: 384,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,788.80 : 413,683.20 = 256,105.80 : x
  2. Step 2: Convert to fraction form
    275,788.80/413,683.20 = 256,105.80/x
  3. Step 3: Cross multiply
    275,788.80x = 413,683.20 × 256,105.80
  4. Step 4: Simplify right side
    275,788.80x = 105,946,666,882.56
  5. Step 5: Solve for x
    x = 105,946,666,882.56/275,788.80
  6. Step 6: Final answer
    x = 384,158.70

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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.