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Finding the Fourth Proportional to 304,078.19, 419,694.51 and 176,827.19

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Solution

The fourth proportional to 304,078.19, 419,694.51 and 176,827.19 is: 244,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,078.19 : 419,694.51 = 176,827.19 : x
  2. Step 2: Convert to fraction form
    304,078.19/419,694.51 = 176,827.19/x
  3. Step 3: Cross multiply
    304,078.19x = 419,694.51 × 176,827.19
  4. Step 4: Simplify right side
    304,078.19x = 74,213,398,763.25
  5. Step 5: Solve for x
    x = 74,213,398,763.25/304,078.19
  6. Step 6: Final answer
    x = 244,060.25

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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.