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Finding the Fourth Proportional to 330,833.40, 496,333.24 and 106,213.92

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Solution

The fourth proportional to 330,833.40, 496,333.24 and 106,213.92 is: 159,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,833.40 : 496,333.24 = 106,213.92 : x
  2. Step 2: Convert to fraction form
    330,833.40/496,333.24 = 106,213.92/x
  3. Step 3: Cross multiply
    330,833.40x = 496,333.24 × 106,213.92
  4. Step 4: Simplify right side
    330,833.40x = 52,717,499,046.70
  5. Step 5: Solve for x
    x = 52,717,499,046.70/330,833.40
  6. Step 6: Final answer
    x = 159,347.57

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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.