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Finding the Fourth Proportional to 764,892.74, 1,055,363.01 and 478,269.38

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Solution

The fourth proportional to 764,892.74, 1,055,363.01 and 478,269.38 is: 659,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,892.74 : 1,055,363.01 = 478,269.38 : x
  2. Step 2: Convert to fraction form
    764,892.74/1,055,363.01 = 478,269.38/x
  3. Step 3: Cross multiply
    764,892.74x = 1,055,363.01 × 478,269.38
  4. Step 4: Simplify right side
    764,892.74x = 504,747,812,467.63
  5. Step 5: Solve for x
    x = 504,747,812,467.63/764,892.74
  6. Step 6: Final answer
    x = 659,893.59

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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.