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Finding the Fourth Proportional to 417,830.52, 626,505.39 and 222,843.17

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Solution

The fourth proportional to 417,830.52, 626,505.39 and 222,843.17 is: 334,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,830.52 : 626,505.39 = 222,843.17 : x
  2. Step 2: Convert to fraction form
    417,830.52/626,505.39 = 222,843.17/x
  3. Step 3: Cross multiply
    417,830.52x = 626,505.39 × 222,843.17
  4. Step 4: Simplify right side
    417,830.52x = 139,612,443,997.16
  5. Step 5: Solve for x
    x = 139,612,443,997.16/417,830.52
  6. Step 6: Final answer
    x = 334,136.54

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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.