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Finding the Fourth Proportional to 477,146.91, 658,470.92 and 262,296.03

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Solution

The fourth proportional to 477,146.91, 658,470.92 and 262,296.03 is: 361,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,146.91 : 658,470.92 = 262,296.03 : x
  2. Step 2: Convert to fraction form
    477,146.91/658,470.92 = 262,296.03/x
  3. Step 3: Cross multiply
    477,146.91x = 658,470.92 × 262,296.03
  4. Step 4: Simplify right side
    477,146.91x = 172,714,306,874.97
  5. Step 5: Solve for x
    x = 172,714,306,874.97/477,146.91
  6. Step 6: Final answer
    x = 361,973.02

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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.