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Finding the Fourth Proportional to 363,414.38, 501,506.78 and 202,269.47

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Solution

The fourth proportional to 363,414.38, 501,506.78 and 202,269.47 is: 279,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,414.38 : 501,506.78 = 202,269.47 : x
  2. Step 2: Convert to fraction form
    363,414.38/501,506.78 = 202,269.47/x
  3. Step 3: Cross multiply
    363,414.38x = 501,506.78 × 202,269.47
  4. Step 4: Simplify right side
    363,414.38x = 101,439,508,084.47
  5. Step 5: Solve for x
    x = 101,439,508,084.47/363,414.38
  6. Step 6: Final answer
    x = 279,129.05

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1.5x scale

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.