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Finding the Fourth Proportional to 344,947.06, 476,034.24 and 194,044.06

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Solution

The fourth proportional to 344,947.06, 476,034.24 and 194,044.06 is: 267,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,947.06 : 476,034.24 = 194,044.06 : x
  2. Step 2: Convert to fraction form
    344,947.06/476,034.24 = 194,044.06/x
  3. Step 3: Cross multiply
    344,947.06x = 476,034.24 × 194,044.06
  4. Step 4: Simplify right side
    344,947.06x = 92,371,616,628.61
  5. Step 5: Solve for x
    x = 92,371,616,628.61/344,947.06
  6. Step 6: Final answer
    x = 267,784.91

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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.