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Finding the Fourth Proportional to 764,662.68, 1,055,251.62 and 420,476.79

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Solution

The fourth proportional to 764,662.68, 1,055,251.62 and 420,476.79 is: 580,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,662.68 : 1,055,251.62 = 420,476.79 : x
  2. Step 2: Convert to fraction form
    764,662.68/1,055,251.62 = 420,476.79/x
  3. Step 3: Cross multiply
    764,662.68x = 1,055,251.62 × 420,476.79
  4. Step 4: Simplify right side
    764,662.68x = 443,708,813,819.90
  5. Step 5: Solve for x
    x = 443,708,813,819.90/764,662.68
  6. Step 6: Final answer
    x = 580,267.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.