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Finding the Fourth Proportional to 322,203.26, 444,802.11 and 201,411.74

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Solution

The fourth proportional to 322,203.26, 444,802.11 and 201,411.74 is: 278,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,203.26 : 444,802.11 = 201,411.74 : x
  2. Step 2: Convert to fraction form
    322,203.26/444,802.11 = 201,411.74/x
  3. Step 3: Cross multiply
    322,203.26x = 444,802.11 × 201,411.74
  4. Step 4: Simplify right side
    322,203.26x = 89,588,366,930.77
  5. Step 5: Solve for x
    x = 89,588,366,930.77/322,203.26
  6. Step 6: Final answer
    x = 278,049.23

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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.