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Finding the Fourth Proportional to 361,605.68, 499,045.65 and 200,511.26

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Solution

The fourth proportional to 361,605.68, 499,045.65 and 200,511.26 is: 276,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,605.68 : 499,045.65 = 200,511.26 : x
  2. Step 2: Convert to fraction form
    361,605.68/499,045.65 = 200,511.26/x
  3. Step 3: Cross multiply
    361,605.68x = 499,045.65 × 200,511.26
  4. Step 4: Simplify right side
    361,605.68x = 100,064,272,079.02
  5. Step 5: Solve for x
    x = 100,064,272,079.02/361,605.68
  6. Step 6: Final answer
    x = 276,722.07

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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.