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Finding the Fourth Proportional to 434,773.80, 652,160.70 and 384,910.20

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Solution

The fourth proportional to 434,773.80, 652,160.70 and 384,910.20 is: 577,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,773.80 : 652,160.70 = 384,910.20 : x
  2. Step 2: Convert to fraction form
    434,773.80/652,160.70 = 384,910.20/x
  3. Step 3: Cross multiply
    434,773.80x = 652,160.70 × 384,910.20
  4. Step 4: Simplify right side
    434,773.80x = 251,023,305,469.14
  5. Step 5: Solve for x
    x = 251,023,305,469.14/434,773.80
  6. Step 6: Final answer
    x = 577,365.30

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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.