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Finding the Fourth Proportional to 384,100.80, 576,151.20 and 356,107.20

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Solution

The fourth proportional to 384,100.80, 576,151.20 and 356,107.20 is: 534,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.80 : 576,151.20 = 356,107.20 : x
  2. Step 2: Convert to fraction form
    384,100.80/576,151.20 = 356,107.20/x
  3. Step 3: Cross multiply
    384,100.80x = 576,151.20 × 356,107.20
  4. Step 4: Simplify right side
    384,100.80x = 205,171,590,608.64
  5. Step 5: Solve for x
    x = 205,171,590,608.64/384,100.80
  6. Step 6: Final answer
    x = 534,160.80

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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.