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Finding the Fourth Proportional to 288,560.06, 432,839.98 and 78,198

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Solution

The fourth proportional to 288,560.06, 432,839.98 and 78,198 is: 117,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,560.06 : 432,839.98 = 78,198 : x
  2. Step 2: Convert to fraction form
    288,560.06/432,839.98 = 78,198/x
  3. Step 3: Cross multiply
    288,560.06x = 432,839.98 × 78,198
  4. Step 4: Simplify right side
    288,560.06x = 33,847,220,756.04
  5. Step 5: Solve for x
    x = 33,847,220,756.04/288,560.06
  6. Step 6: Final answer
    x = 117,296.97

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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.