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Finding the Fourth Proportional to 856,420, 1,181,764.16 and 474,351.20

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Solution

The fourth proportional to 856,420, 1,181,764.16 and 474,351.20 is: 654,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,420 : 1,181,764.16 = 474,351.20 : x
  2. Step 2: Convert to fraction form
    856,420/1,181,764.16 = 474,351.20/x
  3. Step 3: Cross multiply
    856,420x = 1,181,764.16 × 474,351.20
  4. Step 4: Simplify right side
    856,420x = 560,571,247,412.99
  5. Step 5: Solve for x
    x = 560,571,247,412.99/856,420
  6. Step 6: Final answer
    x = 654,551.79

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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.