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Finding the Fourth Proportional to 412,819.20, 619,228.80 and 202,867.20

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Solution

The fourth proportional to 412,819.20, 619,228.80 and 202,867.20 is: 304,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,819.20 : 619,228.80 = 202,867.20 : x
  2. Step 2: Convert to fraction form
    412,819.20/619,228.80 = 202,867.20/x
  3. Step 3: Cross multiply
    412,819.20x = 619,228.80 × 202,867.20
  4. Step 4: Simplify right side
    412,819.20x = 125,621,212,815.36
  5. Step 5: Solve for x
    x = 125,621,212,815.36/412,819.20
  6. Step 6: Final answer
    x = 304,300.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.