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Finding the Fourth Proportional to 300,966.49, 415,322.67 and 164,997.46

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Solution

The fourth proportional to 300,966.49, 415,322.67 and 164,997.46 is: 227,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,966.49 : 415,322.67 = 164,997.46 : x
  2. Step 2: Convert to fraction form
    300,966.49/415,322.67 = 164,997.46/x
  3. Step 3: Cross multiply
    300,966.49x = 415,322.67 × 164,997.46
  4. Step 4: Simplify right side
    300,966.49x = 68,527,185,630.42
  5. Step 5: Solve for x
    x = 68,527,185,630.42/300,966.49
  6. Step 6: Final answer
    x = 227,690.42

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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.