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Finding the Fourth Proportional to 404,141.92, 557,689.92 and 222,855.16

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Solution

The fourth proportional to 404,141.92, 557,689.92 and 222,855.16 is: 307,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,141.92 : 557,689.92 = 222,855.16 : x
  2. Step 2: Convert to fraction form
    404,141.92/557,689.92 = 222,855.16/x
  3. Step 3: Cross multiply
    404,141.92x = 557,689.92 × 222,855.16
  4. Step 4: Simplify right side
    404,141.92x = 124,284,076,351.99
  5. Step 5: Solve for x
    x = 124,284,076,351.99/404,141.92
  6. Step 6: Final answer
    x = 307,525.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.