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Finding the Fourth Proportional to 304,292.50, 419,923.61 and 166,472.55

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Solution

The fourth proportional to 304,292.50, 419,923.61 and 166,472.55 is: 229,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,292.50 : 419,923.61 = 166,472.55 : x
  2. Step 2: Convert to fraction form
    304,292.50/419,923.61 = 166,472.55/x
  3. Step 3: Cross multiply
    304,292.50x = 419,923.61 × 166,472.55
  4. Step 4: Simplify right side
    304,292.50x = 69,905,753,953.81
  5. Step 5: Solve for x
    x = 69,905,753,953.81/304,292.50
  6. Step 6: Final answer
    x = 229,732.10

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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.