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Finding the Fourth Proportional to 463,102.12, 693,858.78 and 311,014.12

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Solution

The fourth proportional to 463,102.12, 693,858.78 and 311,014.12 is: 465,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,102.12 : 693,858.78 = 311,014.12 : x
  2. Step 2: Convert to fraction form
    463,102.12/693,858.78 = 311,014.12/x
  3. Step 3: Cross multiply
    463,102.12x = 693,858.78 × 311,014.12
  4. Step 4: Simplify right side
    463,102.12x = 215,799,877,865.97
  5. Step 5: Solve for x
    x = 215,799,877,865.97/463,102.12
  6. Step 6: Final answer
    x = 465,987.67

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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.