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Finding the Fourth Proportional to 541,335.32, 747,044.22 and 299,634.56

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Solution

The fourth proportional to 541,335.32, 747,044.22 and 299,634.56 is: 413,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,335.32 : 747,044.22 = 299,634.56 : x
  2. Step 2: Convert to fraction form
    541,335.32/747,044.22 = 299,634.56/x
  3. Step 3: Cross multiply
    541,335.32x = 747,044.22 × 299,634.56
  4. Step 4: Simplify right side
    541,335.32x = 223,840,266,160.24
  5. Step 5: Solve for x
    x = 223,840,266,160.24/541,335.32
  6. Step 6: Final answer
    x = 413,496.51

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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.