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Finding the Fourth Proportional to 764,715.76, 1,055,334.84 and 420,578.29

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Solution

The fourth proportional to 764,715.76, 1,055,334.84 and 420,578.29 is: 580,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,715.76 : 1,055,334.84 = 420,578.29 : x
  2. Step 2: Convert to fraction form
    764,715.76/1,055,334.84 = 420,578.29/x
  3. Step 3: Cross multiply
    764,715.76x = 1,055,334.84 × 420,578.29
  4. Step 4: Simplify right side
    764,715.76x = 443,850,922,384.62
  5. Step 5: Solve for x
    x = 443,850,922,384.62/764,715.76
  6. Step 6: Final answer
    x = 580,412.94

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