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Finding the Fourth Proportional to 361,808.32, 499,319.50 and 200,670.16

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Solution

The fourth proportional to 361,808.32, 499,319.50 and 200,670.16 is: 276,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,808.32 : 499,319.50 = 200,670.16 : x
  2. Step 2: Convert to fraction form
    361,808.32/499,319.50 = 200,670.16/x
  3. Step 3: Cross multiply
    361,808.32x = 499,319.50 × 200,670.16
  4. Step 4: Simplify right side
    361,808.32x = 100,198,523,956.12
  5. Step 5: Solve for x
    x = 100,198,523,956.12/361,808.32
  6. Step 6: Final answer
    x = 276,938.14

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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.