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Finding the Fourth Proportional to 403,643.25, 557,044.97 and 224,795.25

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Solution

The fourth proportional to 403,643.25, 557,044.97 and 224,795.25 is: 310,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,643.25 : 557,044.97 = 224,795.25 : x
  2. Step 2: Convert to fraction form
    403,643.25/557,044.97 = 224,795.25/x
  3. Step 3: Cross multiply
    403,643.25x = 557,044.97 × 224,795.25
  4. Step 4: Simplify right side
    403,643.25x = 125,221,062,168.42
  5. Step 5: Solve for x
    x = 125,221,062,168.42/403,643.25
  6. Step 6: Final answer
    x = 310,227.07

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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.