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Finding the Fourth Proportional to 463,031.56, 694,073.72 and 313,287.66

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Solution

The fourth proportional to 463,031.56, 694,073.72 and 313,287.66 is: 469,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,031.56 : 694,073.72 = 313,287.66 : x
  2. Step 2: Convert to fraction form
    463,031.56/694,073.72 = 313,287.66/x
  3. Step 3: Cross multiply
    463,031.56x = 694,073.72 × 313,287.66
  4. Step 4: Simplify right side
    463,031.56x = 217,444,731,606.30
  5. Step 5: Solve for x
    x = 217,444,731,606.30/463,031.56
  6. Step 6: Final answer
    x = 469,611.04

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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.