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Finding the Fourth Proportional to 465,689.30, 697,949.61 and 199,136.37

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Solution

The fourth proportional to 465,689.30, 697,949.61 and 199,136.37 is: 298,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,689.30 : 697,949.61 = 199,136.37 : x
  2. Step 2: Convert to fraction form
    465,689.30/697,949.61 = 199,136.37/x
  3. Step 3: Cross multiply
    465,689.30x = 697,949.61 × 199,136.37
  4. Step 4: Simplify right side
    465,689.30x = 138,987,154,769.01
  5. Step 5: Solve for x
    x = 138,987,154,769.01/465,689.30
  6. Step 6: Final answer
    x = 298,454.69

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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.