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Finding the Fourth Proportional to 541,467.26, 747,200.59 and 299,732.75

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Solution

The fourth proportional to 541,467.26, 747,200.59 and 299,732.75 is: 413,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,467.26 : 747,200.59 = 299,732.75 : x
  2. Step 2: Convert to fraction form
    541,467.26/747,200.59 = 299,732.75/x
  3. Step 3: Cross multiply
    541,467.26x = 747,200.59 × 299,732.75
  4. Step 4: Simplify right side
    541,467.26x = 223,960,482,407.66
  5. Step 5: Solve for x
    x = 223,960,482,407.66/541,467.26
  6. Step 6: Final answer
    x = 413,617.78

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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.