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Finding the Fourth Proportional to 291,229.44, 401,853.28 and 163,897.44

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Solution

The fourth proportional to 291,229.44, 401,853.28 and 163,897.44 is: 226,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229.44 : 401,853.28 = 163,897.44 : x
  2. Step 2: Convert to fraction form
    291,229.44/401,853.28 = 163,897.44/x
  3. Step 3: Cross multiply
    291,229.44x = 401,853.28 × 163,897.44
  4. Step 4: Simplify right side
    291,229.44x = 65,862,723,847.60
  5. Step 5: Solve for x
    x = 65,862,723,847.60/291,229.44
  6. Step 6: Final answer
    x = 226,154.07

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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.