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Finding the Fourth Proportional to 465,568.16, 642,452.88 and 274,572.96

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Solution

The fourth proportional to 465,568.16, 642,452.88 and 274,572.96 is: 378,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,568.16 : 642,452.88 = 274,572.96 : x
  2. Step 2: Convert to fraction form
    465,568.16/642,452.88 = 274,572.96/x
  3. Step 3: Cross multiply
    465,568.16x = 642,452.88 × 274,572.96
  4. Step 4: Simplify right side
    465,568.16x = 176,400,188,922.13
  5. Step 5: Solve for x
    x = 176,400,188,922.13/465,568.16
  6. Step 6: Final answer
    x = 378,892.30

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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.