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Finding the Fourth Proportional to 288,168.14, 397,624.47 and 160,843.70

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Solution

The fourth proportional to 288,168.14, 397,624.47 and 160,843.70 is: 221,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,168.14 : 397,624.47 = 160,843.70 : x
  2. Step 2: Convert to fraction form
    288,168.14/397,624.47 = 160,843.70/x
  3. Step 3: Cross multiply
    288,168.14x = 397,624.47 × 160,843.70
  4. Step 4: Simplify right side
    288,168.14x = 63,955,390,965.34
  5. Step 5: Solve for x
    x = 63,955,390,965.34/288,168.14
  6. Step 6: Final answer
    x = 221,937.76

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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.