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Finding the Fourth Proportional to 318,296.40, 477,444.74 and 78,414.97

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Solution

The fourth proportional to 318,296.40, 477,444.74 and 78,414.97 is: 117,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,296.40 : 477,444.74 = 78,414.97 : x
  2. Step 2: Convert to fraction form
    318,296.40/477,444.74 = 78,414.97/x
  3. Step 3: Cross multiply
    318,296.40x = 477,444.74 × 78,414.97
  4. Step 4: Simplify right side
    318,296.40x = 37,438,815,616.09
  5. Step 5: Solve for x
    x = 37,438,815,616.09/318,296.40
  6. Step 6: Final answer
    x = 117,622.49

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