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Finding the Fourth Proportional to 477,092.64, 658,374.48 and 262,233.12

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Solution

The fourth proportional to 477,092.64, 658,374.48 and 262,233.12 is: 361,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,092.64 : 658,374.48 = 262,233.12 : x
  2. Step 2: Convert to fraction form
    477,092.64/658,374.48 = 262,233.12/x
  3. Step 3: Cross multiply
    477,092.64x = 658,374.48 × 262,233.12
  4. Step 4: Simplify right side
    477,092.64x = 172,647,594,018.78
  5. Step 5: Solve for x
    x = 172,647,594,018.78/477,092.64
  6. Step 6: Final answer
    x = 361,874.36

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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.