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Finding the Fourth Proportional to 477,108.27, 658,401.84 and 262,243.71

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Solution

The fourth proportional to 477,108.27, 658,401.84 and 262,243.71 is: 361,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,108.27 : 658,401.84 = 262,243.71 : x
  2. Step 2: Convert to fraction form
    477,108.27/658,401.84 = 262,243.71/x
  3. Step 3: Cross multiply
    477,108.27x = 658,401.84 × 262,243.71
  4. Step 4: Simplify right side
    477,108.27x = 172,661,741,192.43
  5. Step 5: Solve for x
    x = 172,661,741,192.43/477,108.27
  6. Step 6: Final answer
    x = 361,892.16

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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.