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Finding the Fourth Proportional to 322,203.76, 444,802.80 and 201,412.24

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Solution

The fourth proportional to 322,203.76, 444,802.80 and 201,412.24 is: 278,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,203.76 : 444,802.80 = 201,412.24 : x
  2. Step 2: Convert to fraction form
    322,203.76/444,802.80 = 201,412.24/x
  3. Step 3: Cross multiply
    322,203.76x = 444,802.80 × 201,412.24
  4. Step 4: Simplify right side
    322,203.76x = 89,588,728,306.27
  5. Step 5: Solve for x
    x = 89,588,728,306.27/322,203.76
  6. Step 6: Final answer
    x = 278,049.92

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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.