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Finding the Fourth Proportional to 410,866.59, 616,299.89 and 111,347.18

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Solution

The fourth proportional to 410,866.59, 616,299.89 and 111,347.18 is: 167,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,866.59 : 616,299.89 = 111,347.18 : x
  2. Step 2: Convert to fraction form
    410,866.59/616,299.89 = 111,347.18/x
  3. Step 3: Cross multiply
    410,866.59x = 616,299.89 × 111,347.18
  4. Step 4: Simplify right side
    410,866.59x = 68,623,251,147.57
  5. Step 5: Solve for x
    x = 68,623,251,147.57/410,866.59
  6. Step 6: Final answer
    x = 167,020.76

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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.