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Finding the Fourth Proportional to 300,617.16, 414,856.18 and 164,663.64

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Solution

The fourth proportional to 300,617.16, 414,856.18 and 164,663.64 is: 227,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,617.16 : 414,856.18 = 164,663.64 : x
  2. Step 2: Convert to fraction form
    300,617.16/414,856.18 = 164,663.64/x
  3. Step 3: Cross multiply
    300,617.16x = 414,856.18 × 164,663.64
  4. Step 4: Simplify right side
    300,617.16x = 68,311,728,675.30
  5. Step 5: Solve for x
    x = 68,311,728,675.30/300,617.16
  6. Step 6: Final answer
    x = 227,238.29

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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.