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Finding the Fourth Proportional to 404,162.84, 557,731.87 and 222,882.40

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Solution

The fourth proportional to 404,162.84, 557,731.87 and 222,882.40 is: 307,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,162.84 : 557,731.87 = 222,882.40 : x
  2. Step 2: Convert to fraction form
    404,162.84/557,731.87 = 222,882.40/x
  3. Step 3: Cross multiply
    404,162.84x = 557,731.87 × 222,882.40
  4. Step 4: Simplify right side
    404,162.84x = 124,308,617,742.09
  5. Step 5: Solve for x
    x = 124,308,617,742.09/404,162.84
  6. Step 6: Final answer
    x = 307,570.63

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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.