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Finding the Fourth Proportional to 313,199.55, 469,797.48 and 113,473.26

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Solution

The fourth proportional to 313,199.55, 469,797.48 and 113,473.26 is: 170,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,199.55 : 469,797.48 = 113,473.26 : x
  2. Step 2: Convert to fraction form
    313,199.55/469,797.48 = 113,473.26/x
  3. Step 3: Cross multiply
    313,199.55x = 469,797.48 × 113,473.26
  4. Step 4: Simplify right side
    313,199.55x = 53,309,451,595.38
  5. Step 5: Solve for x
    x = 53,309,451,595.38/313,199.55
  6. Step 6: Final answer
    x = 170,209.22

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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.