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Finding the Fourth Proportional to 300,525, 414,724.50 and 166,389

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Solution

The fourth proportional to 300,525, 414,724.50 and 166,389 is: 229,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,525 : 414,724.50 = 166,389 : x
  2. Step 2: Convert to fraction form
    300,525/414,724.50 = 166,389/x
  3. Step 3: Cross multiply
    300,525x = 414,724.50 × 166,389
  4. Step 4: Simplify right side
    300,525x = 69,005,594,830.50
  5. Step 5: Solve for x
    x = 69,005,594,830.50/300,525
  6. Step 6: Final answer
    x = 229,616.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.