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Finding the Fourth Proportional to 304,203.25, 419,789.91 and 175,137.45

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Solution

The fourth proportional to 304,203.25, 419,789.91 and 175,137.45 is: 241,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203.25 : 419,789.91 = 175,137.45 : x
  2. Step 2: Convert to fraction form
    304,203.25/419,789.91 = 175,137.45/x
  3. Step 3: Cross multiply
    304,203.25x = 419,789.91 × 175,137.45
  4. Step 4: Simplify right side
    304,203.25x = 73,520,932,274.18
  5. Step 5: Solve for x
    x = 73,520,932,274.18/304,203.25
  6. Step 6: Final answer
    x = 241,683.59

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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.