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Finding the Fourth Proportional to 296,098.80, 444,148.20 and 205,897.20

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Solution

The fourth proportional to 296,098.80, 444,148.20 and 205,897.20 is: 308,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,098.80 : 444,148.20 = 205,897.20 : x
  2. Step 2: Convert to fraction form
    296,098.80/444,148.20 = 205,897.20/x
  3. Step 3: Cross multiply
    296,098.80x = 444,148.20 × 205,897.20
  4. Step 4: Simplify right side
    296,098.80x = 91,448,870,765.04
  5. Step 5: Solve for x
    x = 91,448,870,765.04/296,098.80
  6. Step 6: Final answer
    x = 308,845.80

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1.5x scale

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.