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Finding the Fourth Proportional to 433,959.72, 650,480.30 and 197,468.48

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Solution

The fourth proportional to 433,959.72, 650,480.30 and 197,468.48 is: 295,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,959.72 : 650,480.30 = 197,468.48 : x
  2. Step 2: Convert to fraction form
    433,959.72/650,480.30 = 197,468.48/x
  3. Step 3: Cross multiply
    433,959.72x = 650,480.30 × 197,468.48
  4. Step 4: Simplify right side
    433,959.72x = 128,449,356,110.94
  5. Step 5: Solve for x
    x = 128,449,356,110.94/433,959.72
  6. Step 6: Final answer
    x = 295,993.73

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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.