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Finding the Fourth Proportional to 313,244.96, 469,762.13 and 113,523.53

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Solution

The fourth proportional to 313,244.96, 469,762.13 and 113,523.53 is: 170,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,244.96 : 469,762.13 = 113,523.53 : x
  2. Step 2: Convert to fraction form
    313,244.96/469,762.13 = 113,523.53/x
  3. Step 3: Cross multiply
    313,244.96x = 469,762.13 × 113,523.53
  4. Step 4: Simplify right side
    313,244.96x = 53,329,055,257.92
  5. Step 5: Solve for x
    x = 53,329,055,257.92/313,244.96
  6. Step 6: Final answer
    x = 170,247.13

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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.