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Finding the Fourth Proportional to 532,947.20, 800,198.40 and 218,019.20

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Solution

The fourth proportional to 532,947.20, 800,198.40 and 218,019.20 is: 327,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,947.20 : 800,198.40 = 218,019.20 : x
  2. Step 2: Convert to fraction form
    532,947.20/800,198.40 = 218,019.20/x
  3. Step 3: Cross multiply
    532,947.20x = 800,198.40 × 218,019.20
  4. Step 4: Simplify right side
    532,947.20x = 174,458,615,009.28
  5. Step 5: Solve for x
    x = 174,458,615,009.28/532,947.20
  6. Step 6: Final answer
    x = 327,346.90

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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.