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Finding the Fourth Proportional to 313,481.60, 470,017.92 and 113,764.16

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Solution

The fourth proportional to 313,481.60, 470,017.92 and 113,764.16 is: 170,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,481.60 : 470,017.92 = 113,764.16 : x
  2. Step 2: Convert to fraction form
    313,481.60/470,017.92 = 113,764.16/x
  3. Step 3: Cross multiply
    313,481.60x = 470,017.92 × 113,764.16
  4. Step 4: Simplify right side
    313,481.60x = 53,471,193,853.75
  5. Step 5: Solve for x
    x = 53,471,193,853.75/313,481.60
  6. Step 6: Final answer
    x = 170,572.03

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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.