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Finding the Fourth Proportional to 361,808.98, 499,332.87 and 200,695.46

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Solution

The fourth proportional to 361,808.98, 499,332.87 and 200,695.46 is: 276,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,808.98 : 499,332.87 = 200,695.46 : x
  2. Step 2: Convert to fraction form
    361,808.98/499,332.87 = 200,695.46/x
  3. Step 3: Cross multiply
    361,808.98x = 499,332.87 × 200,695.46
  4. Step 4: Simplify right side
    361,808.98x = 100,213,837,541.11
  5. Step 5: Solve for x
    x = 100,213,837,541.11/361,808.98
  6. Step 6: Final answer
    x = 276,979.96

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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.