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Finding the Fourth Proportional to 452,896.56, 679,531.14 and 200,043.72

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Solution

The fourth proportional to 452,896.56, 679,531.14 and 200,043.72 is: 300,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,896.56 : 679,531.14 = 200,043.72 : x
  2. Step 2: Convert to fraction form
    452,896.56/679,531.14 = 200,043.72/x
  3. Step 3: Cross multiply
    452,896.56x = 679,531.14 × 200,043.72
  4. Step 4: Simplify right side
    452,896.56x = 135,935,937,101.44
  5. Step 5: Solve for x
    x = 135,935,937,101.44/452,896.56
  6. Step 6: Final answer
    x = 300,147.87

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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.