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Finding the Fourth Proportional to 361,082.96, 498,299.73 and 199,937.70

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Solution

The fourth proportional to 361,082.96, 498,299.73 and 199,937.70 is: 275,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,082.96 : 498,299.73 = 199,937.70 : x
  2. Step 2: Convert to fraction form
    361,082.96/498,299.73 = 199,937.70/x
  3. Step 3: Cross multiply
    361,082.96x = 498,299.73 × 199,937.70
  4. Step 4: Simplify right side
    361,082.96x = 99,628,901,926.82
  5. Step 5: Solve for x
    x = 99,628,901,926.82/361,082.96
  6. Step 6: Final answer
    x = 275,916.93

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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.