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Finding the Fourth Proportional to 295,814.57, 408,560.63 and 198,850.01

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Solution

The fourth proportional to 295,814.57, 408,560.63 and 198,850.01 is: 274,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,814.57 : 408,560.63 = 198,850.01 : x
  2. Step 2: Convert to fraction form
    295,814.57/408,560.63 = 198,850.01/x
  3. Step 3: Cross multiply
    295,814.57x = 408,560.63 × 198,850.01
  4. Step 4: Simplify right side
    295,814.57x = 81,242,282,324.05
  5. Step 5: Solve for x
    x = 81,242,282,324.05/295,814.57
  6. Step 6: Final answer
    x = 274,639.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.