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Finding the Fourth Proportional to 362,270.14, 543,626.28 and 228,966.82

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Solution

The fourth proportional to 362,270.14, 543,626.28 and 228,966.82 is: 343,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,270.14 : 543,626.28 = 228,966.82 : x
  2. Step 2: Convert to fraction form
    362,270.14/543,626.28 = 228,966.82/x
  3. Step 3: Cross multiply
    362,270.14x = 543,626.28 × 228,966.82
  4. Step 4: Simplify right side
    362,270.14x = 124,472,380,600.03
  5. Step 5: Solve for x
    x = 124,472,380,600.03/362,270.14
  6. Step 6: Final answer
    x = 343,589.95

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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.