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Finding the Fourth Proportional to 503,886.42, 755,824.92 and 204,295.80

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Solution

The fourth proportional to 503,886.42, 755,824.92 and 204,295.80 is: 306,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,886.42 : 755,824.92 = 204,295.80 : x
  2. Step 2: Convert to fraction form
    503,886.42/755,824.92 = 204,295.80/x
  3. Step 3: Cross multiply
    503,886.42x = 755,824.92 × 204,295.80
  4. Step 4: Simplify right side
    503,886.42x = 154,411,856,691.34
  5. Step 5: Solve for x
    x = 154,411,856,691.34/503,886.42
  6. Step 6: Final answer
    x = 306,441.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.