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Finding the Fourth Proportional to 362,451.40, 543,677.10 and 269,139.40

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Solution

The fourth proportional to 362,451.40, 543,677.10 and 269,139.40 is: 403,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,451.40 : 543,677.10 = 269,139.40 : x
  2. Step 2: Convert to fraction form
    362,451.40/543,677.10 = 269,139.40/x
  3. Step 3: Cross multiply
    362,451.40x = 543,677.10 × 269,139.40
  4. Step 4: Simplify right side
    362,451.40x = 146,324,928,487.74
  5. Step 5: Solve for x
    x = 146,324,928,487.74/362,451.40
  6. Step 6: Final answer
    x = 403,709.10

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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.