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Finding the Fourth Proportional to 288,159.27, 397,643.61 and 160,843.06

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Solution

The fourth proportional to 288,159.27, 397,643.61 and 160,843.06 is: 221,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,159.27 : 397,643.61 = 160,843.06 : x
  2. Step 2: Convert to fraction form
    288,159.27/397,643.61 = 160,843.06/x
  3. Step 3: Cross multiply
    288,159.27x = 397,643.61 × 160,843.06
  4. Step 4: Simplify right side
    288,159.27x = 63,958,215,021.85
  5. Step 5: Solve for x
    x = 63,958,215,021.85/288,159.27
  6. Step 6: Final answer
    x = 221,954.39

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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.