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Finding the Fourth Proportional to 360,399.76, 497,337 and 199,244.56

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Solution

The fourth proportional to 360,399.76, 497,337 and 199,244.56 is: 274,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,399.76 : 497,337 = 199,244.56 : x
  2. Step 2: Convert to fraction form
    360,399.76/497,337 = 199,244.56/x
  3. Step 3: Cross multiply
    360,399.76x = 497,337 × 199,244.56
  4. Step 4: Simplify right side
    360,399.76x = 99,091,691,736.72
  5. Step 5: Solve for x
    x = 99,091,691,736.72/360,399.76
  6. Step 6: Final answer
    x = 274,949.38

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1.5x scale

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.