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Finding the Fourth Proportional to 342,627.43, 472,820.13 and 189,662.38

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Solution

The fourth proportional to 342,627.43, 472,820.13 and 189,662.38 is: 261,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,627.43 : 472,820.13 = 189,662.38 : x
  2. Step 2: Convert to fraction form
    342,627.43/472,820.13 = 189,662.38/x
  3. Step 3: Cross multiply
    342,627.43x = 472,820.13 × 189,662.38
  4. Step 4: Simplify right side
    342,627.43x = 89,676,190,219.40
  5. Step 5: Solve for x
    x = 89,676,190,219.40/342,627.43
  6. Step 6: Final answer
    x = 261,730.92

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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.