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Finding the Fourth Proportional to 542,805.56, 749,083.66 and 301,080.24

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Solution

The fourth proportional to 542,805.56, 749,083.66 and 301,080.24 is: 415,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,805.56 : 749,083.66 = 301,080.24 : x
  2. Step 2: Convert to fraction form
    542,805.56/749,083.66 = 301,080.24/x
  3. Step 3: Cross multiply
    542,805.56x = 749,083.66 × 301,080.24
  4. Step 4: Simplify right side
    542,805.56x = 225,534,288,132.88
  5. Step 5: Solve for x
    x = 225,534,288,132.88/542,805.56
  6. Step 6: Final answer
    x = 415,497.38

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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.