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Finding the Fourth Proportional to 300,542.28, 414,761.28 and 166,406.28

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Solution

The fourth proportional to 300,542.28, 414,761.28 and 166,406.28 is: 229,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542.28 : 414,761.28 = 166,406.28 : x
  2. Step 2: Convert to fraction form
    300,542.28/414,761.28 = 166,406.28/x
  3. Step 3: Cross multiply
    300,542.28x = 414,761.28 × 166,406.28
  4. Step 4: Simplify right side
    300,542.28x = 69,018,881,692.84
  5. Step 5: Solve for x
    x = 69,018,881,692.84/300,542.28
  6. Step 6: Final answer
    x = 229,647.83

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1.5x scale

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.