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Finding the Fourth Proportional to 342,642.18, 472,838.70 and 187,593.14

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Solution

The fourth proportional to 342,642.18, 472,838.70 and 187,593.14 is: 258,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,642.18 : 472,838.70 = 187,593.14 : x
  2. Step 2: Convert to fraction form
    342,642.18/472,838.70 = 187,593.14/x
  3. Step 3: Cross multiply
    342,642.18x = 472,838.70 × 187,593.14
  4. Step 4: Simplify right side
    342,642.18x = 88,701,296,446.52
  5. Step 5: Solve for x
    x = 88,701,296,446.52/342,642.18
  6. Step 6: Final answer
    x = 258,874.42

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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.