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Finding the Fourth Proportional to 296,071.80, 444,107.70 and 205,870.20

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Solution

The fourth proportional to 296,071.80, 444,107.70 and 205,870.20 is: 308,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,071.80 : 444,107.70 = 205,870.20 : x
  2. Step 2: Convert to fraction form
    296,071.80/444,107.70 = 205,870.20/x
  3. Step 3: Cross multiply
    296,071.80x = 444,107.70 × 205,870.20
  4. Step 4: Simplify right side
    296,071.80x = 91,428,541,020.54
  5. Step 5: Solve for x
    x = 91,428,541,020.54/296,071.80
  6. Step 6: Final answer
    x = 308,805.30

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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.