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Finding the Fourth Proportional to 313,845.48, 470,759.52 and 114,169.56

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Solution

The fourth proportional to 313,845.48, 470,759.52 and 114,169.56 is: 171,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,845.48 : 470,759.52 = 114,169.56 : x
  2. Step 2: Convert to fraction form
    313,845.48/470,759.52 = 114,169.56/x
  3. Step 3: Cross multiply
    313,845.48x = 470,759.52 × 114,169.56
  4. Step 4: Simplify right side
    313,845.48x = 53,746,407,264.21
  5. Step 5: Solve for x
    x = 53,746,407,264.21/313,845.48
  6. Step 6: Final answer
    x = 171,251.18

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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.