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Finding the Fourth Proportional to 300,601.12, 414,835.80 and 164,640.79

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Solution

The fourth proportional to 300,601.12, 414,835.80 and 164,640.79 is: 227,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,601.12 : 414,835.80 = 164,640.79 : x
  2. Step 2: Convert to fraction form
    300,601.12/414,835.80 = 164,640.79/x
  3. Step 3: Cross multiply
    300,601.12x = 414,835.80 × 164,640.79
  4. Step 4: Simplify right side
    300,601.12x = 68,298,893,009.08
  5. Step 5: Solve for x
    x = 68,298,893,009.08/300,601.12
  6. Step 6: Final answer
    x = 227,207.72

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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.