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Finding the Fourth Proportional to 377,469.30, 566,301.94 and 140,813.76

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Solution

The fourth proportional to 377,469.30, 566,301.94 and 140,813.76 is: 211,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,469.30 : 566,301.94 = 140,813.76 : x
  2. Step 2: Convert to fraction form
    377,469.30/566,301.94 = 140,813.76/x
  3. Step 3: Cross multiply
    377,469.30x = 566,301.94 × 140,813.76
  4. Step 4: Simplify right side
    377,469.30x = 79,743,105,466.69
  5. Step 5: Solve for x
    x = 79,743,105,466.69/377,469.30
  6. Step 6: Final answer
    x = 211,257.19

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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.