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Finding the Fourth Proportional to 541,578.70, 747,401.95 and 299,861.27

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Solution

The fourth proportional to 541,578.70, 747,401.95 and 299,861.27 is: 413,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,578.70 : 747,401.95 = 299,861.27 : x
  2. Step 2: Convert to fraction form
    541,578.70/747,401.95 = 299,861.27/x
  3. Step 3: Cross multiply
    541,578.70x = 747,401.95 × 299,861.27
  4. Step 4: Simplify right side
    541,578.70x = 224,116,896,840.18
  5. Step 5: Solve for x
    x = 224,116,896,840.18/541,578.70
  6. Step 6: Final answer
    x = 413,821.48

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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.