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Finding the Fourth Proportional to 502,872.12, 693,905.28 and 287,999.34

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Solution

The fourth proportional to 502,872.12, 693,905.28 and 287,999.34 is: 397,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,872.12 : 693,905.28 = 287,999.34 : x
  2. Step 2: Convert to fraction form
    502,872.12/693,905.28 = 287,999.34/x
  3. Step 3: Cross multiply
    502,872.12x = 693,905.28 × 287,999.34
  4. Step 4: Simplify right side
    502,872.12x = 199,844,262,662.52
  5. Step 5: Solve for x
    x = 199,844,262,662.52/502,872.12
  6. Step 6: Final answer
    x = 397,405.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.