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Finding the Fourth Proportional to 333,947.68, 500,997.12 and 191,858.56

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Solution

The fourth proportional to 333,947.68, 500,997.12 and 191,858.56 is: 287,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,947.68 : 500,997.12 = 191,858.56 : x
  2. Step 2: Convert to fraction form
    333,947.68/500,997.12 = 191,858.56/x
  3. Step 3: Cross multiply
    333,947.68x = 500,997.12 × 191,858.56
  4. Step 4: Simplify right side
    333,947.68x = 96,120,586,007.35
  5. Step 5: Solve for x
    x = 96,120,586,007.35/333,947.68
  6. Step 6: Final answer
    x = 287,831.27

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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.