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Finding the Fourth Proportional to 726,507.56, 1,002,564.74 and 420,596.90

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Solution

The fourth proportional to 726,507.56, 1,002,564.74 and 420,596.90 is: 580,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,507.56 : 1,002,564.74 = 420,596.90 : x
  2. Step 2: Convert to fraction form
    726,507.56/1,002,564.74 = 420,596.90/x
  3. Step 3: Cross multiply
    726,507.56x = 1,002,564.74 × 420,596.90
  4. Step 4: Simplify right side
    726,507.56x = 421,675,621,693.31
  5. Step 5: Solve for x
    x = 421,675,621,693.31/726,507.56
  6. Step 6: Final answer
    x = 580,414.64

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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.