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Finding the Fourth Proportional to 300,534, 414,742.02 and 164,565.78

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Solution

The fourth proportional to 300,534, 414,742.02 and 164,565.78 is: 227,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,534 : 414,742.02 = 164,565.78 : x
  2. Step 2: Convert to fraction form
    300,534/414,742.02 = 164,565.78/x
  3. Step 3: Cross multiply
    300,534x = 414,742.02 × 164,565.78
  4. Step 4: Simplify right side
    300,534x = 68,252,344,020.08
  5. Step 5: Solve for x
    x = 68,252,344,020.08/300,534
  6. Step 6: Final answer
    x = 227,103.57

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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.