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Finding the Fourth Proportional to 342,496.29, 472,633.27 and 189,540.96

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Solution

The fourth proportional to 342,496.29, 472,633.27 and 189,540.96 is: 261,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,496.29 : 472,633.27 = 189,540.96 : x
  2. Step 2: Convert to fraction form
    342,496.29/472,633.27 = 189,540.96/x
  3. Step 3: Cross multiply
    342,496.29x = 472,633.27 × 189,540.96
  4. Step 4: Simplify right side
    342,496.29x = 89,583,363,723.74
  5. Step 5: Solve for x
    x = 89,583,363,723.74/342,496.29
  6. Step 6: Final answer
    x = 261,560.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.