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Finding the Fourth Proportional to 290,843.60, 436,265.40 and 279,957.20

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Solution

The fourth proportional to 290,843.60, 436,265.40 and 279,957.20 is: 419,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,843.60 : 436,265.40 = 279,957.20 : x
  2. Step 2: Convert to fraction form
    290,843.60/436,265.40 = 279,957.20/x
  3. Step 3: Cross multiply
    290,843.60x = 436,265.40 × 279,957.20
  4. Step 4: Simplify right side
    290,843.60x = 122,135,639,840.88
  5. Step 5: Solve for x
    x = 122,135,639,840.88/290,843.60
  6. Step 6: Final answer
    x = 419,935.80

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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.