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Finding the Fourth Proportional to 300,309.41, 414,426.86 and 164,343.35

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Solution

The fourth proportional to 300,309.41, 414,426.86 and 164,343.35 is: 226,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,309.41 : 414,426.86 = 164,343.35 : x
  2. Step 2: Convert to fraction form
    300,309.41/414,426.86 = 164,343.35/x
  3. Step 3: Cross multiply
    300,309.41x = 414,426.86 × 164,343.35
  4. Step 4: Simplify right side
    300,309.41x = 68,108,298,502.38
  5. Step 5: Solve for x
    x = 68,108,298,502.38/300,309.41
  6. Step 6: Final answer
    x = 226,793.75

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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.