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Finding the Fourth Proportional to 611,221.69, 916,624.92 and 211,769.23

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Solution

The fourth proportional to 611,221.69, 916,624.92 and 211,769.23 is: 317,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,221.69 : 916,624.92 = 211,769.23 : x
  2. Step 2: Convert to fraction form
    611,221.69/916,624.92 = 211,769.23/x
  3. Step 3: Cross multiply
    611,221.69x = 916,624.92 × 211,769.23
  4. Step 4: Simplify right side
    611,221.69x = 194,112,951,215.65
  5. Step 5: Solve for x
    x = 194,112,951,215.65/611,221.69
  6. Step 6: Final answer
    x = 317,581.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.