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Finding the Fourth Proportional to 353,682.28, 530,506.14 and 132,049

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Solution

The fourth proportional to 353,682.28, 530,506.14 and 132,049 is: 198,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,682.28 : 530,506.14 = 132,049 : x
  2. Step 2: Convert to fraction form
    353,682.28/530,506.14 = 132,049/x
  3. Step 3: Cross multiply
    353,682.28x = 530,506.14 × 132,049
  4. Step 4: Simplify right side
    353,682.28x = 70,052,805,280.86
  5. Step 5: Solve for x
    x = 70,052,805,280.86/353,682.28
  6. Step 6: Final answer
    x = 198,067.05

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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.