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Finding the Fourth Proportional to 312,625.72, 431,521.59 and 199,448.38

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Solution

The fourth proportional to 312,625.72, 431,521.59 and 199,448.38 is: 275,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,625.72 : 431,521.59 = 199,448.38 : x
  2. Step 2: Convert to fraction form
    312,625.72/431,521.59 = 199,448.38/x
  3. Step 3: Cross multiply
    312,625.72x = 431,521.59 × 199,448.38
  4. Step 4: Simplify right side
    312,625.72x = 86,066,282,060.52
  5. Step 5: Solve for x
    x = 86,066,282,060.52/312,625.72
  6. Step 6: Final answer
    x = 275,301.35

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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.