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Finding the Fourth Proportional to 465,724.62, 642,324.06 and 312,716.70

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Solution

The fourth proportional to 465,724.62, 642,324.06 and 312,716.70 is: 431,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,724.62 : 642,324.06 = 312,716.70 : x
  2. Step 2: Convert to fraction form
    465,724.62/642,324.06 = 312,716.70/x
  3. Step 3: Cross multiply
    465,724.62x = 642,324.06 × 312,716.70
  4. Step 4: Simplify right side
    465,724.62x = 200,865,460,373.80
  5. Step 5: Solve for x
    x = 200,865,460,373.80/465,724.62
  6. Step 6: Final answer
    x = 431,296.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.