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Finding the Fourth Proportional to 541,408.16, 747,134.21 and 299,685.56

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Solution

The fourth proportional to 541,408.16, 747,134.21 and 299,685.56 is: 413,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,408.16 : 747,134.21 = 299,685.56 : x
  2. Step 2: Convert to fraction form
    541,408.16/747,134.21 = 299,685.56/x
  3. Step 3: Cross multiply
    541,408.16x = 747,134.21 × 299,685.56
  4. Step 4: Simplify right side
    541,408.16x = 223,905,328,884.91
  5. Step 5: Solve for x
    x = 223,905,328,884.91/541,408.16
  6. Step 6: Final answer
    x = 413,561.06

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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.