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Finding the Fourth Proportional to 304,058.85, 419,713.97 and 183,206.85

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Solution

The fourth proportional to 304,058.85, 419,713.97 and 183,206.85 is: 252,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,058.85 : 419,713.97 = 183,206.85 : x
  2. Step 2: Convert to fraction form
    304,058.85/419,713.97 = 183,206.85/x
  3. Step 3: Cross multiply
    304,058.85x = 419,713.97 × 183,206.85
  4. Step 4: Simplify right side
    304,058.85x = 76,894,473,428.66
  5. Step 5: Solve for x
    x = 76,894,473,428.66/304,058.85
  6. Step 6: Final answer
    x = 252,893.39

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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.