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Finding the Fourth Proportional to 541,563.20, 747,384.84 and 299,872.46

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Solution

The fourth proportional to 541,563.20, 747,384.84 and 299,872.46 is: 413,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,563.20 : 747,384.84 = 299,872.46 : x
  2. Step 2: Convert to fraction form
    541,563.20/747,384.84 = 299,872.46/x
  3. Step 3: Cross multiply
    541,563.20x = 747,384.84 × 299,872.46
  4. Step 4: Simplify right side
    541,563.20x = 224,120,130,537.51
  5. Step 5: Solve for x
    x = 224,120,130,537.51/541,563.20
  6. Step 6: Final answer
    x = 413,839.29

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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.