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Finding the Fourth Proportional to 415,082.98, 622,585.56 and 134,602.66

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Solution

The fourth proportional to 415,082.98, 622,585.56 and 134,602.66 is: 201,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,082.98 : 622,585.56 = 134,602.66 : x
  2. Step 2: Convert to fraction form
    415,082.98/622,585.56 = 134,602.66/x
  3. Step 3: Cross multiply
    415,082.98x = 622,585.56 × 134,602.66
  4. Step 4: Simplify right side
    415,082.98x = 83,801,672,453.59
  5. Step 5: Solve for x
    x = 83,801,672,453.59/415,082.98
  6. Step 6: Final answer
    x = 201,891.37

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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.