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Finding the Fourth Proportional to 522,227.70, 783,422.55 and 222,709.14

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Solution

The fourth proportional to 522,227.70, 783,422.55 and 222,709.14 is: 334,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,227.70 : 783,422.55 = 222,709.14 : x
  2. Step 2: Convert to fraction form
    522,227.70/783,422.55 = 222,709.14/x
  3. Step 3: Cross multiply
    522,227.70x = 783,422.55 × 222,709.14
  4. Step 4: Simplify right side
    522,227.70x = 174,475,362,367.11
  5. Step 5: Solve for x
    x = 174,475,362,367.11/522,227.70
  6. Step 6: Final answer
    x = 334,098.25

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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.