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Finding the Fourth Proportional to 339,062.76, 508,597.38 and 102,414.78

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Solution

The fourth proportional to 339,062.76, 508,597.38 and 102,414.78 is: 153,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,062.76 : 508,597.38 = 102,414.78 : x
  2. Step 2: Convert to fraction form
    339,062.76/508,597.38 = 102,414.78/x
  3. Step 3: Cross multiply
    339,062.76x = 508,597.38 × 102,414.78
  4. Step 4: Simplify right side
    339,062.76x = 52,087,888,781.28
  5. Step 5: Solve for x
    x = 52,087,888,781.28/339,062.76
  6. Step 6: Final answer
    x = 153,623.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.