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Finding the Fourth Proportional to 378,561.87, 568,095.32 and 196,360.59

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Solution

The fourth proportional to 378,561.87, 568,095.32 and 196,360.59 is: 294,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,561.87 : 568,095.32 = 196,360.59 : x
  2. Step 2: Convert to fraction form
    378,561.87/568,095.32 = 196,360.59/x
  3. Step 3: Cross multiply
    378,561.87x = 568,095.32 × 196,360.59
  4. Step 4: Simplify right side
    378,561.87x = 111,551,534,832.70
  5. Step 5: Solve for x
    x = 111,551,534,832.70/378,561.87
  6. Step 6: Final answer
    x = 294,671.87

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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.