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Finding the Fourth Proportional to 541,310.82, 747,010.53 and 299,610.18

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Solution

The fourth proportional to 541,310.82, 747,010.53 and 299,610.18 is: 413,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,310.82 : 747,010.53 = 299,610.18 : x
  2. Step 2: Convert to fraction form
    541,310.82/747,010.53 = 299,610.18/x
  3. Step 3: Cross multiply
    541,310.82x = 747,010.53 × 299,610.18
  4. Step 4: Simplify right side
    541,310.82x = 223,811,959,355.20
  5. Step 5: Solve for x
    x = 223,811,959,355.20/541,310.82
  6. Step 6: Final answer
    x = 413,462.93

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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.