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Finding the Fourth Proportional to 403,963.25, 557,469.14 and 222,678.20

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Solution

The fourth proportional to 403,963.25, 557,469.14 and 222,678.20 is: 307,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,963.25 : 557,469.14 = 222,678.20 : x
  2. Step 2: Convert to fraction form
    403,963.25/557,469.14 = 222,678.20/x
  3. Step 3: Cross multiply
    403,963.25x = 557,469.14 × 222,678.20
  4. Step 4: Simplify right side
    403,963.25x = 124,136,224,931.03
  5. Step 5: Solve for x
    x = 124,136,224,931.03/403,963.25
  6. Step 6: Final answer
    x = 307,295.84

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