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Finding the Fourth Proportional to 491,982, 737,380.08 and 207,562.56

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Solution

The fourth proportional to 491,982, 737,380.08 and 207,562.56 is: 311,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,982 : 737,380.08 = 207,562.56 : x
  2. Step 2: Convert to fraction form
    491,982/737,380.08 = 207,562.56/x
  3. Step 3: Cross multiply
    491,982x = 737,380.08 × 207,562.56
  4. Step 4: Simplify right side
    491,982x = 153,052,497,097.81
  5. Step 5: Solve for x
    x = 153,052,497,097.81/491,982
  6. Step 6: Final answer
    x = 311,093.69

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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.