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Finding the Fourth Proportional to 322,202.76, 444,801.42 and 201,411.24

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Solution

The fourth proportional to 322,202.76, 444,801.42 and 201,411.24 is: 278,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,202.76 : 444,801.42 = 201,411.24 : x
  2. Step 2: Convert to fraction form
    322,202.76/444,801.42 = 201,411.24/x
  3. Step 3: Cross multiply
    322,202.76x = 444,801.42 × 201,411.24
  4. Step 4: Simplify right side
    322,202.76x = 89,588,005,555.96
  5. Step 5: Solve for x
    x = 89,588,005,555.96/322,202.76
  6. Step 6: Final answer
    x = 278,048.54

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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.