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Finding the Fourth Proportional to 386,872.35, 580,043.83 and 196,965.24

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Solution

The fourth proportional to 386,872.35, 580,043.83 and 196,965.24 is: 295,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,872.35 : 580,043.83 = 196,965.24 : x
  2. Step 2: Convert to fraction form
    386,872.35/580,043.83 = 196,965.24/x
  3. Step 3: Cross multiply
    386,872.35x = 580,043.83 × 196,965.24
  4. Step 4: Simplify right side
    386,872.35x = 114,248,472,186.47
  5. Step 5: Solve for x
    x = 114,248,472,186.47/386,872.35
  6. Step 6: Final answer
    x = 295,313.10

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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.