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Finding the Fourth Proportional to 300,794.13, 415,022.81 and 166,658.13

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Solution

The fourth proportional to 300,794.13, 415,022.81 and 166,658.13 is: 229,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,794.13 : 415,022.81 = 166,658.13 : x
  2. Step 2: Convert to fraction form
    300,794.13/415,022.81 = 166,658.13/x
  3. Step 3: Cross multiply
    300,794.13x = 415,022.81 × 166,658.13
  4. Step 4: Simplify right side
    300,794.13x = 69,166,924,588.65
  5. Step 5: Solve for x
    x = 69,166,924,588.65/300,794.13
  6. Step 6: Final answer
    x = 229,947.72

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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.