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Finding the Fourth Proportional to 304,283.06, 419,878.32 and 168,295.40

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Solution

The fourth proportional to 304,283.06, 419,878.32 and 168,295.40 is: 232,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,283.06 : 419,878.32 = 168,295.40 : x
  2. Step 2: Convert to fraction form
    304,283.06/419,878.32 = 168,295.40/x
  3. Step 3: Cross multiply
    304,283.06x = 419,878.32 × 168,295.40
  4. Step 4: Simplify right side
    304,283.06x = 70,663,589,815.73
  5. Step 5: Solve for x
    x = 70,663,589,815.73/304,283.06
  6. Step 6: Final answer
    x = 232,229.79

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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.