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Finding the Fourth Proportional to 404,114.30, 557,667 and 222,823.14

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Solution

The fourth proportional to 404,114.30, 557,667 and 222,823.14 is: 307,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,114.30 : 557,667 = 222,823.14 : x
  2. Step 2: Convert to fraction form
    404,114.30/557,667 = 222,823.14/x
  3. Step 3: Cross multiply
    404,114.30x = 557,667 × 222,823.14
  4. Step 4: Simplify right side
    404,114.30x = 124,261,112,014.38
  5. Step 5: Solve for x
    x = 124,261,112,014.38/404,114.30
  6. Step 6: Final answer
    x = 307,490.01

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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.