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Finding the Fourth Proportional to 300,532.50, 414,747.81 and 166,396.50

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Solution

The fourth proportional to 300,532.50, 414,747.81 and 166,396.50 is: 229,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,532.50 : 414,747.81 = 166,396.50 : x
  2. Step 2: Convert to fraction form
    300,532.50/414,747.81 = 166,396.50/x
  3. Step 3: Cross multiply
    300,532.50x = 414,747.81 × 166,396.50
  4. Step 4: Simplify right side
    300,532.50x = 69,012,583,966.67
  5. Step 5: Solve for x
    x = 69,012,583,966.67/300,532.50
  6. Step 6: Final answer
    x = 229,634.35

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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.