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Finding the Fourth Proportional to 541,408.66, 747,134.90 and 299,686.05

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Solution

The fourth proportional to 541,408.66, 747,134.90 and 299,686.05 is: 413,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,408.66 : 747,134.90 = 299,686.05 : x
  2. Step 2: Convert to fraction form
    541,408.66/747,134.90 = 299,686.05/x
  3. Step 3: Cross multiply
    541,408.66x = 747,134.90 × 299,686.05
  4. Step 4: Simplify right side
    541,408.66x = 223,905,906,998.15
  5. Step 5: Solve for x
    x = 223,905,906,998.15/541,408.66
  6. Step 6: Final answer
    x = 413,561.74

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1.5x scale

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.