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Finding the Fourth Proportional to 313,218.92, 469,687.26 and 186,917.48

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Solution

The fourth proportional to 313,218.92, 469,687.26 and 186,917.48 is: 280,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,218.92 : 469,687.26 = 186,917.48 : x
  2. Step 2: Convert to fraction form
    313,218.92/469,687.26 = 186,917.48/x
  3. Step 3: Cross multiply
    313,218.92x = 469,687.26 × 186,917.48
  4. Step 4: Simplify right side
    313,218.92x = 87,792,759,027.30
  5. Step 5: Solve for x
    x = 87,792,759,027.30/313,218.92
  6. Step 6: Final answer
    x = 280,292.00

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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.