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Finding the Fourth Proportional to 313,615.20, 469,270.80 and 230,671.20

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Solution

The fourth proportional to 313,615.20, 469,270.80 and 230,671.20 is: 345,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,615.20 : 469,270.80 = 230,671.20 : x
  2. Step 2: Convert to fraction form
    313,615.20/469,270.80 = 230,671.20/x
  3. Step 3: Cross multiply
    313,615.20x = 469,270.80 × 230,671.20
  4. Step 4: Simplify right side
    313,615.20x = 108,247,258,560.96
  5. Step 5: Solve for x
    x = 108,247,258,560.96/313,615.20
  6. Step 6: Final answer
    x = 345,159.48

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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.