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Finding the Fourth Proportional to 503,889.30, 755,829.21 and 204,298.65

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Solution

The fourth proportional to 503,889.30, 755,829.21 and 204,298.65 is: 306,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,889.30 : 755,829.21 = 204,298.65 : x
  2. Step 2: Convert to fraction form
    503,889.30/755,829.21 = 204,298.65/x
  3. Step 3: Cross multiply
    503,889.30x = 755,829.21 × 204,298.65
  4. Step 4: Simplify right side
    503,889.30x = 154,414,887,233.57
  5. Step 5: Solve for x
    x = 154,414,887,233.57/503,889.30
  6. Step 6: Final answer
    x = 306,446.05

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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.