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Finding the Fourth Proportional to 291,191.64, 401,843.62 and 163,867.22

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Solution

The fourth proportional to 291,191.64, 401,843.62 and 163,867.22 is: 226,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,191.64 : 401,843.62 = 163,867.22 : x
  2. Step 2: Convert to fraction form
    291,191.64/401,843.62 = 163,867.22/x
  3. Step 3: Cross multiply
    291,191.64x = 401,843.62 × 163,867.22
  4. Step 4: Simplify right side
    291,191.64x = 65,848,996,884.14
  5. Step 5: Solve for x
    x = 65,848,996,884.14/291,191.64
  6. Step 6: Final answer
    x = 226,136.29

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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.