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Finding the Fourth Proportional to 362,543.40, 543,815.10 and 269,231.40

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Solution

The fourth proportional to 362,543.40, 543,815.10 and 269,231.40 is: 403,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,543.40 : 543,815.10 = 269,231.40 : x
  2. Step 2: Convert to fraction form
    362,543.40/543,815.10 = 269,231.40/x
  3. Step 3: Cross multiply
    362,543.40x = 543,815.10 × 269,231.40
  4. Step 4: Simplify right side
    362,543.40x = 146,412,100,714.14
  5. Step 5: Solve for x
    x = 146,412,100,714.14/362,543.40
  6. Step 6: Final answer
    x = 403,847.10

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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.