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Finding the Fourth Proportional to 364,206.07, 502,634.35 and 200,894.58

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Solution

The fourth proportional to 364,206.07, 502,634.35 and 200,894.58 is: 277,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,206.07 : 502,634.35 = 200,894.58 : x
  2. Step 2: Convert to fraction form
    364,206.07/502,634.35 = 200,894.58/x
  3. Step 3: Cross multiply
    364,206.07x = 502,634.35 × 200,894.58
  4. Step 4: Simplify right side
    364,206.07x = 100,976,515,757.91
  5. Step 5: Solve for x
    x = 100,976,515,757.91/364,206.07
  6. Step 6: Final answer
    x = 277,251.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.