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Finding the Fourth Proportional to 304,084.71, 419,645.66 and 168,127.43

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Solution

The fourth proportional to 304,084.71, 419,645.66 and 168,127.43 is: 232,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,084.71 : 419,645.66 = 168,127.43 : x
  2. Step 2: Convert to fraction form
    304,084.71/419,645.66 = 168,127.43/x
  3. Step 3: Cross multiply
    304,084.71x = 419,645.66 × 168,127.43
  4. Step 4: Simplify right side
    304,084.71x = 70,553,943,387.59
  5. Step 5: Solve for x
    x = 70,553,943,387.59/304,084.71
  6. Step 6: Final answer
    x = 232,020.69

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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.