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Finding the Fourth Proportional to 313,387.25, 470,267.67 and 113,723.22

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Solution

The fourth proportional to 313,387.25, 470,267.67 and 113,723.22 is: 170,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,387.25 : 470,267.67 = 113,723.22 : x
  2. Step 2: Convert to fraction form
    313,387.25/470,267.67 = 113,723.22/x
  3. Step 3: Cross multiply
    313,387.25x = 470,267.67 × 113,723.22
  4. Step 4: Simplify right side
    313,387.25x = 53,480,353,694.30
  5. Step 5: Solve for x
    x = 53,480,353,694.30/313,387.25
  6. Step 6: Final answer
    x = 170,652.61

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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.