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Finding the Fourth Proportional to 433,718.40, 650,383.20 and 196,939.20

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Solution

The fourth proportional to 433,718.40, 650,383.20 and 196,939.20 is: 295,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,718.40 : 650,383.20 = 196,939.20 : x
  2. Step 2: Convert to fraction form
    433,718.40/650,383.20 = 196,939.20/x
  3. Step 3: Cross multiply
    433,718.40x = 650,383.20 × 196,939.20
  4. Step 4: Simplify right side
    433,718.40x = 128,085,947,101.44
  5. Step 5: Solve for x
    x = 128,085,947,101.44/433,718.40
  6. Step 6: Final answer
    x = 295,320.53

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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.