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Finding the Fourth Proportional to 300,545.50, 414,752.80 and 166,418.14

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Solution

The fourth proportional to 300,545.50, 414,752.80 and 166,418.14 is: 229,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,545.50 : 414,752.80 = 166,418.14 : x
  2. Step 2: Convert to fraction form
    300,545.50/414,752.80 = 166,418.14/x
  3. Step 3: Cross multiply
    300,545.50x = 414,752.80 × 166,418.14
  4. Step 4: Simplify right side
    300,545.50x = 69,022,389,535.79
  5. Step 5: Solve for x
    x = 69,022,389,535.79/300,545.50
  6. Step 6: Final answer
    x = 229,657.04

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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.