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Finding the Fourth Proportional to 269,709.64, 404,439.31 and 157,422.18

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Solution

The fourth proportional to 269,709.64, 404,439.31 and 157,422.18 is: 236,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,709.64 : 404,439.31 = 157,422.18 : x
  2. Step 2: Convert to fraction form
    269,709.64/404,439.31 = 157,422.18/x
  3. Step 3: Cross multiply
    269,709.64x = 404,439.31 × 157,422.18
  4. Step 4: Simplify right side
    269,709.64x = 63,667,717,857.90
  5. Step 5: Solve for x
    x = 63,667,717,857.90/269,709.64
  6. Step 6: Final answer
    x = 236,060.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.