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Finding the Fourth Proportional to 502,772.16, 694,049.23 and 298,889.09

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Solution

The fourth proportional to 502,772.16, 694,049.23 and 298,889.09 is: 412,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,772.16 : 694,049.23 = 298,889.09 : x
  2. Step 2: Convert to fraction form
    502,772.16/694,049.23 = 298,889.09/x
  3. Step 3: Cross multiply
    502,772.16x = 694,049.23 × 298,889.09
  4. Step 4: Simplify right side
    502,772.16x = 207,443,743,116.58
  5. Step 5: Solve for x
    x = 207,443,743,116.58/502,772.16
  6. Step 6: Final answer
    x = 412,599.90

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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.