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Finding the Fourth Proportional to 538,576.38, 743,240.36 and 296,868.23

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Solution

The fourth proportional to 538,576.38, 743,240.36 and 296,868.23 is: 409,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,576.38 : 743,240.36 = 296,868.23 : x
  2. Step 2: Convert to fraction form
    538,576.38/743,240.36 = 296,868.23/x
  3. Step 3: Cross multiply
    538,576.38x = 743,240.36 × 296,868.23
  4. Step 4: Simplify right side
    538,576.38x = 220,644,444,937.22
  5. Step 5: Solve for x
    x = 220,644,444,937.22/538,576.38
  6. Step 6: Final answer
    x = 409,680.88

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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.