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Finding the Fourth Proportional to 305,072.93, 421,016.13 and 175,963.39

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Solution

The fourth proportional to 305,072.93, 421,016.13 and 175,963.39 is: 242,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,072.93 : 421,016.13 = 175,963.39 : x
  2. Step 2: Convert to fraction form
    305,072.93/421,016.13 = 175,963.39/x
  3. Step 3: Cross multiply
    305,072.93x = 421,016.13 × 175,963.39
  4. Step 4: Simplify right side
    305,072.93x = 74,083,424,426.94
  5. Step 5: Solve for x
    x = 74,083,424,426.94/305,072.93
  6. Step 6: Final answer
    x = 242,838.41

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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.