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Finding the Fourth Proportional to 477,003.48, 658,276.92 and 262,149

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Solution

The fourth proportional to 477,003.48, 658,276.92 and 262,149 is: 361,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,003.48 : 658,276.92 = 262,149 : x
  2. Step 2: Convert to fraction form
    477,003.48/658,276.92 = 262,149/x
  3. Step 3: Cross multiply
    477,003.48x = 658,276.92 × 262,149
  4. Step 4: Simplify right side
    477,003.48x = 172,566,636,301.08
  5. Step 5: Solve for x
    x = 172,566,636,301.08/477,003.48
  6. Step 6: Final answer
    x = 361,772.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.