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Finding the Fourth Proportional to 403,644.25, 557,046.35 and 224,796.25

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Solution

The fourth proportional to 403,644.25, 557,046.35 and 224,796.25 is: 310,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,644.25 : 557,046.35 = 224,796.25 : x
  2. Step 2: Convert to fraction form
    403,644.25/557,046.35 = 224,796.25/x
  3. Step 3: Cross multiply
    403,644.25x = 557,046.35 × 224,796.25
  4. Step 4: Simplify right side
    403,644.25x = 125,221,930,556.19
  5. Step 5: Solve for x
    x = 125,221,930,556.19/403,644.25
  6. Step 6: Final answer
    x = 310,228.45

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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.