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Finding the Fourth Proportional to 312,891.51, 431,787.69 and 176,952.15

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Solution

The fourth proportional to 312,891.51, 431,787.69 and 176,952.15 is: 244,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,891.51 : 431,787.69 = 176,952.15 : x
  2. Step 2: Convert to fraction form
    312,891.51/431,787.69 = 176,952.15/x
  3. Step 3: Cross multiply
    312,891.51x = 431,787.69 × 176,952.15
  4. Step 4: Simplify right side
    312,891.51x = 76,405,760,089.03
  5. Step 5: Solve for x
    x = 76,405,760,089.03/312,891.51
  6. Step 6: Final answer
    x = 244,192.50

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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.