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Finding the Fourth Proportional to 309,902.40, 464,853.60 and 110,229.30

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Solution

The fourth proportional to 309,902.40, 464,853.60 and 110,229.30 is: 165,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,902.40 : 464,853.60 = 110,229.30 : x
  2. Step 2: Convert to fraction form
    309,902.40/464,853.60 = 110,229.30/x
  3. Step 3: Cross multiply
    309,902.40x = 464,853.60 × 110,229.30
  4. Step 4: Simplify right side
    309,902.40x = 51,240,486,930.48
  5. Step 5: Solve for x
    x = 51,240,486,930.48/309,902.40
  6. Step 6: Final answer
    x = 165,343.95

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1.5x scale

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.