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Finding the Fourth Proportional to 275,943.10, 413,039.85 and 197,211.10

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Solution

The fourth proportional to 275,943.10, 413,039.85 and 197,211.10 is: 295,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,943.10 : 413,039.85 = 197,211.10 : x
  2. Step 2: Convert to fraction form
    275,943.10/413,039.85 = 197,211.10/x
  3. Step 3: Cross multiply
    275,943.10x = 413,039.85 × 197,211.10
  4. Step 4: Simplify right side
    275,943.10x = 81,456,043,162.34
  5. Step 5: Solve for x
    x = 81,456,043,162.34/275,943.10
  6. Step 6: Final answer
    x = 295,191.45

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1.5x scale

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.