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Finding the Fourth Proportional to 460,138.39, 690,408.50 and 160,833.74

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Solution

The fourth proportional to 460,138.39, 690,408.50 and 160,833.74 is: 241,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,138.39 : 690,408.50 = 160,833.74 : x
  2. Step 2: Convert to fraction form
    460,138.39/690,408.50 = 160,833.74/x
  3. Step 3: Cross multiply
    460,138.39x = 690,408.50 × 160,833.74
  4. Step 4: Simplify right side
    460,138.39x = 111,040,976,926.58
  5. Step 5: Solve for x
    x = 111,040,976,926.58/460,138.39
  6. Step 6: Final answer
    x = 241,320.83

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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.