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Finding the Fourth Proportional to 298,599.84, 412,067.80 and 164,463.84

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Solution

The fourth proportional to 298,599.84, 412,067.80 and 164,463.84 is: 226,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,599.84 : 412,067.80 = 164,463.84 : x
  2. Step 2: Convert to fraction form
    298,599.84/412,067.80 = 164,463.84/x
  3. Step 3: Cross multiply
    298,599.84x = 412,067.80 × 164,463.84
  4. Step 4: Simplify right side
    298,599.84x = 67,770,252,728.35
  5. Step 5: Solve for x
    x = 67,770,252,728.35/298,599.84
  6. Step 6: Final answer
    x = 226,960.11

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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.