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Finding the Fourth Proportional to 260,764.50, 360,027.84 and 200,226.51

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Solution

The fourth proportional to 260,764.50, 360,027.84 and 200,226.51 is: 276,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,764.50 : 360,027.84 = 200,226.51 : x
  2. Step 2: Convert to fraction form
    260,764.50/360,027.84 = 200,226.51/x
  3. Step 3: Cross multiply
    260,764.50x = 360,027.84 × 200,226.51
  4. Step 4: Simplify right side
    260,764.50x = 72,087,117,906.04
  5. Step 5: Solve for x
    x = 72,087,117,906.04/260,764.50
  6. Step 6: Final answer
    x = 276,445.29

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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.