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Finding the Fourth Proportional to 411,067.50, 567,200.52 and 229,721.46

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Solution

The fourth proportional to 411,067.50, 567,200.52 and 229,721.46 is: 316,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,067.50 : 567,200.52 = 229,721.46 : x
  2. Step 2: Convert to fraction form
    411,067.50/567,200.52 = 229,721.46/x
  3. Step 3: Cross multiply
    411,067.50x = 567,200.52 × 229,721.46
  4. Step 4: Simplify right side
    411,067.50x = 130,298,131,567.16
  5. Step 5: Solve for x
    x = 130,298,131,567.16/411,067.50
  6. Step 6: Final answer
    x = 316,975.03

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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.