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Finding the Fourth Proportional to 493,702.56, 681,308.56 and 267,347.36

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Solution

The fourth proportional to 493,702.56, 681,308.56 and 267,347.36 is: 368,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,702.56 : 681,308.56 = 267,347.36 : x
  2. Step 2: Convert to fraction form
    493,702.56/681,308.56 = 267,347.36/x
  3. Step 3: Cross multiply
    493,702.56x = 681,308.56 × 267,347.36
  4. Step 4: Simplify right side
    493,702.56x = 182,146,044,861.40
  5. Step 5: Solve for x
    x = 182,146,044,861.40/493,702.56
  6. Step 6: Final answer
    x = 368,938.83

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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.