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Finding the Fourth Proportional to 477,209.64, 658,540.56 and 262,347.76

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Solution

The fourth proportional to 477,209.64, 658,540.56 and 262,347.76 is: 362,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,209.64 : 658,540.56 = 262,347.76 : x
  2. Step 2: Convert to fraction form
    477,209.64/658,540.56 = 262,347.76/x
  3. Step 3: Cross multiply
    477,209.64x = 658,540.56 × 262,347.76
  4. Step 4: Simplify right side
    477,209.64x = 172,766,640,785.15
  5. Step 5: Solve for x
    x = 172,766,640,785.15/477,209.64
  6. Step 6: Final answer
    x = 362,035.10

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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.