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Finding the Fourth Proportional to 764,803.36, 1,055,454.41 and 420,653.78

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Solution

The fourth proportional to 764,803.36, 1,055,454.41 and 420,653.78 is: 580,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,803.36 : 1,055,454.41 = 420,653.78 : x
  2. Step 2: Convert to fraction form
    764,803.36/1,055,454.41 = 420,653.78/x
  3. Step 3: Cross multiply
    764,803.36x = 1,055,454.41 × 420,653.78
  4. Step 4: Simplify right side
    764,803.36x = 443,980,881,906.90
  5. Step 5: Solve for x
    x = 443,980,881,906.90/764,803.36
  6. Step 6: Final answer
    x = 580,516.39

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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.