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Finding the Fourth Proportional to 288,167.64, 397,623.78 and 160,843.20

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Solution

The fourth proportional to 288,167.64, 397,623.78 and 160,843.20 is: 221,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,167.64 : 397,623.78 = 160,843.20 : x
  2. Step 2: Convert to fraction form
    288,167.64/397,623.78 = 160,843.20/x
  3. Step 3: Cross multiply
    288,167.64x = 397,623.78 × 160,843.20
  4. Step 4: Simplify right side
    288,167.64x = 63,955,081,171.30
  5. Step 5: Solve for x
    x = 63,955,081,171.30/288,167.64
  6. Step 6: Final answer
    x = 221,937.07

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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.