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Finding the Fourth Proportional to 278,012.32, 417,043 and 78,334.40

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Solution

The fourth proportional to 278,012.32, 417,043 and 78,334.40 is: 117,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,012.32 : 417,043 = 78,334.40 : x
  2. Step 2: Convert to fraction form
    278,012.32/417,043 = 78,334.40/x
  3. Step 3: Cross multiply
    278,012.32x = 417,043 × 78,334.40
  4. Step 4: Simplify right side
    278,012.32x = 32,668,813,179.20
  5. Step 5: Solve for x
    x = 32,668,813,179.20/278,012.32
  6. Step 6: Final answer
    x = 117,508.51

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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.