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Finding the Fourth Proportional to 362,565.20, 543,847.80 and 196,677.20

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Solution

The fourth proportional to 362,565.20, 543,847.80 and 196,677.20 is: 295,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565.20 : 543,847.80 = 196,677.20 : x
  2. Step 2: Convert to fraction form
    362,565.20/543,847.80 = 196,677.20/x
  3. Step 3: Cross multiply
    362,565.20x = 543,847.80 × 196,677.20
  4. Step 4: Simplify right side
    362,565.20x = 106,962,462,530.16
  5. Step 5: Solve for x
    x = 106,962,462,530.16/362,565.20
  6. Step 6: Final answer
    x = 295,015.80

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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.