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Finding the Fourth Proportional to 462,797.96, 694,060.62 and 209,932.20

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Solution

The fourth proportional to 462,797.96, 694,060.62 and 209,932.20 is: 314,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,797.96 : 694,060.62 = 209,932.20 : x
  2. Step 2: Convert to fraction form
    462,797.96/694,060.62 = 209,932.20/x
  3. Step 3: Cross multiply
    462,797.96x = 694,060.62 × 209,932.20
  4. Step 4: Simplify right side
    462,797.96x = 145,705,672,889.96
  5. Step 5: Solve for x
    x = 145,705,672,889.96/462,797.96
  6. Step 6: Final answer
    x = 314,836.46

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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.