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Finding the Fourth Proportional to 543,040.25, 749,484.92 and 301,400.61

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Solution

The fourth proportional to 543,040.25, 749,484.92 and 301,400.61 is: 415,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,040.25 : 749,484.92 = 301,400.61 : x
  2. Step 2: Convert to fraction form
    543,040.25/749,484.92 = 301,400.61/x
  3. Step 3: Cross multiply
    543,040.25x = 749,484.92 × 301,400.61
  4. Step 4: Simplify right side
    543,040.25x = 225,895,210,566.80
  5. Step 5: Solve for x
    x = 225,895,210,566.80/543,040.25
  6. Step 6: Final answer
    x = 415,982.44

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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.