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Finding the Fourth Proportional to 275,683.60, 413,306.70 and 151,024.60

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Solution

The fourth proportional to 275,683.60, 413,306.70 and 151,024.60 is: 226,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,683.60 : 413,306.70 = 151,024.60 : x
  2. Step 2: Convert to fraction form
    275,683.60/413,306.70 = 151,024.60/x
  3. Step 3: Cross multiply
    275,683.60x = 413,306.70 × 151,024.60
  4. Step 4: Simplify right side
    275,683.60x = 62,419,479,044.82
  5. Step 5: Solve for x
    x = 62,419,479,044.82/275,683.60
  6. Step 6: Final answer
    x = 226,417.09

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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.