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Finding the Fourth Proportional to 215,298.40, 322,947.60 and 205,621.60

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Solution

The fourth proportional to 215,298.40, 322,947.60 and 205,621.60 is: 308,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,298.40 : 322,947.60 = 205,621.60 : x
  2. Step 2: Convert to fraction form
    215,298.40/322,947.60 = 205,621.60/x
  3. Step 3: Cross multiply
    215,298.40x = 322,947.60 × 205,621.60
  4. Step 4: Simplify right side
    215,298.40x = 66,405,002,228.16
  5. Step 5: Solve for x
    x = 66,405,002,228.16/215,298.40
  6. Step 6: Final answer
    x = 308,432.40

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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.