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Finding the Fourth Proportional to 541,408.16, 747,136.80 and 299,691.20

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Solution

The fourth proportional to 541,408.16, 747,136.80 and 299,691.20 is: 413,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,408.16 : 747,136.80 = 299,691.20 : x
  2. Step 2: Convert to fraction form
    541,408.16/747,136.80 = 299,691.20/x
  3. Step 3: Cross multiply
    541,408.16x = 747,136.80 × 299,691.20
  4. Step 4: Simplify right side
    541,408.16x = 223,910,324,156.16
  5. Step 5: Solve for x
    x = 223,910,324,156.16/541,408.16
  6. Step 6: Final answer
    x = 413,570.28

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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.