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Finding the Fourth Proportional to 361,990.73, 499,547.30 and 200,845.41

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Solution

The fourth proportional to 361,990.73, 499,547.30 and 200,845.41 is: 277,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,990.73 : 499,547.30 = 200,845.41 : x
  2. Step 2: Convert to fraction form
    361,990.73/499,547.30 = 200,845.41/x
  3. Step 3: Cross multiply
    361,990.73x = 499,547.30 × 200,845.41
  4. Step 4: Simplify right side
    361,990.73x = 100,331,781,278.67
  5. Step 5: Solve for x
    x = 100,331,781,278.67/361,990.73
  6. Step 6: Final answer
    x = 277,166.72

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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.