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Finding the Fourth Proportional to 541,411.38, 747,123.48 and 299,676.87

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Solution

The fourth proportional to 541,411.38, 747,123.48 and 299,676.87 is: 413,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,411.38 : 747,123.48 = 299,676.87 : x
  2. Step 2: Convert to fraction form
    541,411.38/747,123.48 = 299,676.87/x
  3. Step 3: Cross multiply
    541,411.38x = 747,123.48 × 299,676.87
  4. Step 4: Simplify right side
    541,411.38x = 223,895,625,989.91
  5. Step 5: Solve for x
    x = 223,895,625,989.91/541,411.38
  6. Step 6: Final answer
    x = 413,540.67

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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.