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Finding the Fourth Proportional to 287,184.26, 396,351.42 and 164,724.42

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Solution

The fourth proportional to 287,184.26, 396,351.42 and 164,724.42 is: 227,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,184.26 : 396,351.42 = 164,724.42 : x
  2. Step 2: Convert to fraction form
    287,184.26/396,351.42 = 164,724.42/x
  3. Step 3: Cross multiply
    287,184.26x = 396,351.42 × 164,724.42
  4. Step 4: Simplify right side
    287,184.26x = 65,288,757,775.68
  5. Step 5: Solve for x
    x = 65,288,757,775.68/287,184.26
  6. Step 6: Final answer
    x = 227,341.00

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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.