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Finding the Fourth Proportional to 361,561.57, 498,902.58 and 200,416.57

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Solution

The fourth proportional to 361,561.57, 498,902.58 and 200,416.57 is: 276,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,561.57 : 498,902.58 = 200,416.57 : x
  2. Step 2: Convert to fraction form
    361,561.57/498,902.58 = 200,416.57/x
  3. Step 3: Cross multiply
    361,561.57x = 498,902.58 × 200,416.57
  4. Step 4: Simplify right side
    361,561.57x = 99,988,343,847.75
  5. Step 5: Solve for x
    x = 99,988,343,847.75/361,561.57
  6. Step 6: Final answer
    x = 276,545.83

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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.