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Finding the Fourth Proportional to 362,578.76, 543,811.90 and 185,216.84

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Solution

The fourth proportional to 362,578.76, 543,811.90 and 185,216.84 is: 277,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,578.76 : 543,811.90 = 185,216.84 : x
  2. Step 2: Convert to fraction form
    362,578.76/543,811.90 = 185,216.84/x
  3. Step 3: Cross multiply
    362,578.76x = 543,811.90 × 185,216.84
  4. Step 4: Simplify right side
    362,578.76x = 100,723,121,672.40
  5. Step 5: Solve for x
    x = 100,723,121,672.40/362,578.76
  6. Step 6: Final answer
    x = 277,796.53

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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.