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Finding the Fourth Proportional to 307,043.44, 423,229.18 and 204,866.80

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Solution

The fourth proportional to 307,043.44, 423,229.18 and 204,866.80 is: 282,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,043.44 : 423,229.18 = 204,866.80 : x
  2. Step 2: Convert to fraction form
    307,043.44/423,229.18 = 204,866.80/x
  3. Step 3: Cross multiply
    307,043.44x = 423,229.18 × 204,866.80
  4. Step 4: Simplify right side
    307,043.44x = 86,705,607,773.22
  5. Step 5: Solve for x
    x = 86,705,607,773.22/307,043.44
  6. Step 6: Final answer
    x = 282,388.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.