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Finding the Fourth Proportional to 465,512.27, 642,652.38 and 313,350.53

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Solution

The fourth proportional to 465,512.27, 642,652.38 and 313,350.53 is: 432,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,512.27 : 642,652.38 = 313,350.53 : x
  2. Step 2: Convert to fraction form
    465,512.27/642,652.38 = 313,350.53/x
  3. Step 3: Cross multiply
    465,512.27x = 642,652.38 × 313,350.53
  4. Step 4: Simplify right side
    465,512.27x = 201,375,460,665.50
  5. Step 5: Solve for x
    x = 201,375,460,665.50/465,512.27
  6. Step 6: Final answer
    x = 432,588.95

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Why These Related Problems?

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