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Finding the Fourth Proportional to 300,688.80, 414,950.70 and 164,727.66

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Solution

The fourth proportional to 300,688.80, 414,950.70 and 164,727.66 is: 227,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,688.80 : 414,950.70 = 164,727.66 : x
  2. Step 2: Convert to fraction form
    300,688.80/414,950.70 = 164,727.66/x
  3. Step 3: Cross multiply
    300,688.80x = 414,950.70 × 164,727.66
  4. Step 4: Simplify right side
    300,688.80x = 68,353,857,826.36
  5. Step 5: Solve for x
    x = 68,353,857,826.36/300,688.80
  6. Step 6: Final answer
    x = 227,324.26

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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.