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Finding the Fourth Proportional to 541,378.56, 747,103.84 and 299,677.80

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Solution

The fourth proportional to 541,378.56, 747,103.84 and 299,677.80 is: 413,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,378.56 : 747,103.84 = 299,677.80 : x
  2. Step 2: Convert to fraction form
    541,378.56/747,103.84 = 299,677.80/x
  3. Step 3: Cross multiply
    541,378.56x = 747,103.84 × 299,677.80
  4. Step 4: Simplify right side
    541,378.56x = 223,890,435,142.75
  5. Step 5: Solve for x
    x = 223,890,435,142.75/541,378.56
  6. Step 6: Final answer
    x = 413,556.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.