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Finding the Fourth Proportional to 349,046.78, 523,085.78 and 159,042.80

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Solution

The fourth proportional to 349,046.78, 523,085.78 and 159,042.80 is: 238,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,046.78 : 523,085.78 = 159,042.80 : x
  2. Step 2: Convert to fraction form
    349,046.78/523,085.78 = 159,042.80/x
  3. Step 3: Cross multiply
    349,046.78x = 523,085.78 × 159,042.80
  4. Step 4: Simplify right side
    349,046.78x = 83,193,027,091.38
  5. Step 5: Solve for x
    x = 83,193,027,091.38/349,046.78
  6. Step 6: Final answer
    x = 238,343.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.