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Finding the Fourth Proportional to 398,847.29, 598,179.70 and 114,535.58

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Solution

The fourth proportional to 398,847.29, 598,179.70 and 114,535.58 is: 171,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,847.29 : 598,179.70 = 114,535.58 : x
  2. Step 2: Convert to fraction form
    398,847.29/598,179.70 = 114,535.58/x
  3. Step 3: Cross multiply
    398,847.29x = 598,179.70 × 114,535.58
  4. Step 4: Simplify right side
    398,847.29x = 68,512,859,758.75
  5. Step 5: Solve for x
    x = 68,512,859,758.75/398,847.29
  6. Step 6: Final answer
    x = 171,777.17

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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.