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Finding the Fourth Proportional to 287,998.20, 431,867.70 and 110,446.20

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Solution

The fourth proportional to 287,998.20, 431,867.70 and 110,446.20 is: 165,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,998.20 : 431,867.70 = 110,446.20 : x
  2. Step 2: Convert to fraction form
    287,998.20/431,867.70 = 110,446.20/x
  3. Step 3: Cross multiply
    287,998.20x = 431,867.70 × 110,446.20
  4. Step 4: Simplify right side
    287,998.20x = 47,698,146,367.74
  5. Step 5: Solve for x
    x = 47,698,146,367.74/287,998.20
  6. Step 6: Final answer
    x = 165,619.60

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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.