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Finding the Fourth Proportional to 409,819.20, 614,728.80 and 344,865.30

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Solution

The fourth proportional to 409,819.20, 614,728.80 and 344,865.30 is: 517,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,819.20 : 614,728.80 = 344,865.30 : x
  2. Step 2: Convert to fraction form
    409,819.20/614,728.80 = 344,865.30/x
  3. Step 3: Cross multiply
    409,819.20x = 614,728.80 × 344,865.30
  4. Step 4: Simplify right side
    409,819.20x = 211,998,632,030.64
  5. Step 5: Solve for x
    x = 211,998,632,030.64/409,819.20
  6. Step 6: Final answer
    x = 517,297.95

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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.