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Finding the Fourth Proportional to 296,028.80, 444,043.20 and 205,827.20

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Solution

The fourth proportional to 296,028.80, 444,043.20 and 205,827.20 is: 308,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,028.80 : 444,043.20 = 205,827.20 : x
  2. Step 2: Convert to fraction form
    296,028.80/444,043.20 = 205,827.20/x
  3. Step 3: Cross multiply
    296,028.80x = 444,043.20 × 205,827.20
  4. Step 4: Simplify right side
    296,028.80x = 91,396,168,535.04
  5. Step 5: Solve for x
    x = 91,396,168,535.04/296,028.80
  6. Step 6: Final answer
    x = 308,740.80

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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.