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Finding the Fourth Proportional to 463,034.56, 694,078.22 and 313,290.66

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Solution

The fourth proportional to 463,034.56, 694,078.22 and 313,290.66 is: 469,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,034.56 : 694,078.22 = 313,290.66 : x
  2. Step 2: Convert to fraction form
    463,034.56/694,078.22 = 313,290.66/x
  3. Step 3: Cross multiply
    463,034.56x = 694,078.22 × 313,290.66
  4. Step 4: Simplify right side
    463,034.56x = 217,448,223,635.43
  5. Step 5: Solve for x
    x = 217,448,223,635.43/463,034.56
  6. Step 6: Final answer
    x = 469,615.54

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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.