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Finding the Fourth Proportional to 260,964.38, 360,304.32 and 200,426.84

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Solution

The fourth proportional to 260,964.38, 360,304.32 and 200,426.84 is: 276,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,964.38 : 360,304.32 = 200,426.84 : x
  2. Step 2: Convert to fraction form
    260,964.38/360,304.32 = 200,426.84/x
  3. Step 3: Cross multiply
    260,964.38x = 360,304.32 × 200,426.84
  4. Step 4: Simplify right side
    260,964.38x = 72,214,656,295.95
  5. Step 5: Solve for x
    x = 72,214,656,295.95/260,964.38
  6. Step 6: Final answer
    x = 276,722.27

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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.