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Finding the Fourth Proportional to 481,098.72, 722,207.14 and 281,562.31

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Solution

The fourth proportional to 481,098.72, 722,207.14 and 281,562.31 is: 422,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,098.72 : 722,207.14 = 281,562.31 : x
  2. Step 2: Convert to fraction form
    481,098.72/722,207.14 = 281,562.31/x
  3. Step 3: Cross multiply
    481,098.72x = 722,207.14 × 281,562.31
  4. Step 4: Simplify right side
    481,098.72x = 203,346,310,835.75
  5. Step 5: Solve for x
    x = 203,346,310,835.75/481,098.72
  6. Step 6: Final answer
    x = 422,670.65

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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.