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Finding the Fourth Proportional to 300,913.14, 415,270.79 and 164,947.05

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Solution

The fourth proportional to 300,913.14, 415,270.79 and 164,947.05 is: 227,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,913.14 : 415,270.79 = 164,947.05 : x
  2. Step 2: Convert to fraction form
    300,913.14/415,270.79 = 164,947.05/x
  3. Step 3: Cross multiply
    300,913.14x = 415,270.79 × 164,947.05
  4. Step 4: Simplify right side
    300,913.14x = 68,497,690,936.93
  5. Step 5: Solve for x
    x = 68,497,690,936.93/300,913.14
  6. Step 6: Final answer
    x = 227,632.77

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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.