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Finding the Fourth Proportional to 396,847.76, 595,099.40 and 144,044.24

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Solution

The fourth proportional to 396,847.76, 595,099.40 and 144,044.24 is: 216,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,847.76 : 595,099.40 = 144,044.24 : x
  2. Step 2: Convert to fraction form
    396,847.76/595,099.40 = 144,044.24/x
  3. Step 3: Cross multiply
    396,847.76x = 595,099.40 × 144,044.24
  4. Step 4: Simplify right side
    396,847.76x = 85,720,637,101.74
  5. Step 5: Solve for x
    x = 85,720,637,101.74/396,847.76
  6. Step 6: Final answer
    x = 216,003.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.