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Finding the Fourth Proportional to 522,165.41, 783,288.20 and 222,647.56

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Solution

The fourth proportional to 522,165.41, 783,288.20 and 222,647.56 is: 333,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,165.41 : 783,288.20 = 222,647.56 : x
  2. Step 2: Convert to fraction form
    522,165.41/783,288.20 = 222,647.56/x
  3. Step 3: Cross multiply
    522,165.41x = 783,288.20 × 222,647.56
  4. Step 4: Simplify right side
    522,165.41x = 174,397,201,477.11
  5. Step 5: Solve for x
    x = 174,397,201,477.11/522,165.41
  6. Step 6: Final answer
    x = 333,988.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.