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Finding the Fourth Proportional to 502,672.40, 693,577.76 and 298,791.08

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Solution

The fourth proportional to 502,672.40, 693,577.76 and 298,791.08 is: 412,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,672.40 : 693,577.76 = 298,791.08 : x
  2. Step 2: Convert to fraction form
    502,672.40/693,577.76 = 298,791.08/x
  3. Step 3: Cross multiply
    502,672.40x = 693,577.76 × 298,791.08
  4. Step 4: Simplify right side
    502,672.40x = 207,234,847,974.38
  5. Step 5: Solve for x
    x = 207,234,847,974.38/502,672.40
  6. Step 6: Final answer
    x = 412,266.22

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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.