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Finding the Fourth Proportional to 541,576.52, 747,398.96 and 299,859.10

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Solution

The fourth proportional to 541,576.52, 747,398.96 and 299,859.10 is: 413,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,576.52 : 747,398.96 = 299,859.10 : x
  2. Step 2: Convert to fraction form
    541,576.52/747,398.96 = 299,859.10/x
  3. Step 3: Cross multiply
    541,576.52x = 747,398.96 × 299,859.10
  4. Step 4: Simplify right side
    541,576.52x = 224,114,379,486.54
  5. Step 5: Solve for x
    x = 224,114,379,486.54/541,576.52
  6. Step 6: Final answer
    x = 413,818.49

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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.