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Finding the Fourth Proportional to 300,622.58, 414,859.33 and 164,656.48

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Solution

The fourth proportional to 300,622.58, 414,859.33 and 164,656.48 is: 227,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,622.58 : 414,859.33 = 164,656.48 : x
  2. Step 2: Convert to fraction form
    300,622.58/414,859.33 = 164,656.48/x
  3. Step 3: Cross multiply
    300,622.58x = 414,859.33 × 164,656.48
  4. Step 4: Simplify right side
    300,622.58x = 68,309,276,972.96
  5. Step 5: Solve for x
    x = 68,309,276,972.96/300,622.58
  6. Step 6: Final answer
    x = 227,226.04

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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.