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Finding the Fourth Proportional to 477,098.52, 658,362.78 and 262,233.24

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Solution

The fourth proportional to 477,098.52, 658,362.78 and 262,233.24 is: 361,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,098.52 : 658,362.78 = 262,233.24 : x
  2. Step 2: Convert to fraction form
    477,098.52/658,362.78 = 262,233.24/x
  3. Step 3: Cross multiply
    477,098.52x = 658,362.78 × 262,233.24
  4. Step 4: Simplify right side
    477,098.52x = 172,644,604,894.81
  5. Step 5: Solve for x
    x = 172,644,604,894.81/477,098.52
  6. Step 6: Final answer
    x = 361,863.64

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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.