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Finding the Fourth Proportional to 465,686.02, 698,228.56 and 222,395.41

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Solution

The fourth proportional to 465,686.02, 698,228.56 and 222,395.41 is: 333,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,686.02 : 698,228.56 = 222,395.41 : x
  2. Step 2: Convert to fraction form
    465,686.02/698,228.56 = 222,395.41/x
  3. Step 3: Cross multiply
    465,686.02x = 698,228.56 × 222,395.41
  4. Step 4: Simplify right side
    465,686.02x = 155,282,826,874.91
  5. Step 5: Solve for x
    x = 155,282,826,874.91/465,686.02
  6. Step 6: Final answer
    x = 333,449.62

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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.