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Finding the Fourth Proportional to 369,469.14, 509,867.13 and 199,703.27

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Solution

The fourth proportional to 369,469.14, 509,867.13 and 199,703.27 is: 275,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,469.14 : 509,867.13 = 199,703.27 : x
  2. Step 2: Convert to fraction form
    369,469.14/509,867.13 = 199,703.27/x
  3. Step 3: Cross multiply
    369,469.14x = 509,867.13 × 199,703.27
  4. Step 4: Simplify right side
    369,469.14x = 101,822,129,578.66
  5. Step 5: Solve for x
    x = 101,822,129,578.66/369,469.14
  6. Step 6: Final answer
    x = 275,590.35

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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.