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Finding the Fourth Proportional to 764,711.76, 1,055,329.32 and 420,574.29

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Solution

The fourth proportional to 764,711.76, 1,055,329.32 and 420,574.29 is: 580,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,711.76 : 1,055,329.32 = 420,574.29 : x
  2. Step 2: Convert to fraction form
    764,711.76/1,055,329.32 = 420,574.29/x
  3. Step 3: Cross multiply
    764,711.76x = 1,055,329.32 × 420,574.29
  4. Step 4: Simplify right side
    764,711.76x = 443,844,379,475.18
  5. Step 5: Solve for x
    x = 443,844,379,475.18/764,711.76
  6. Step 6: Final answer
    x = 580,407.42

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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.