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Finding the Fourth Proportional to 364,333, 502,781.72 and 203,194.84

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Solution

The fourth proportional to 364,333, 502,781.72 and 203,194.84 is: 280,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,333 : 502,781.72 = 203,194.84 : x
  2. Step 2: Convert to fraction form
    364,333/502,781.72 = 203,194.84/x
  3. Step 3: Cross multiply
    364,333x = 502,781.72 × 203,194.84
  4. Step 4: Simplify right side
    364,333x = 102,162,651,150.33
  5. Step 5: Solve for x
    x = 102,162,651,150.33/364,333
  6. Step 6: Final answer
    x = 280,410.10

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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.