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Finding the Fourth Proportional to 493,841.61, 739,989.68 and 381,797.96

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Solution

The fourth proportional to 493,841.61, 739,989.68 and 381,797.96 is: 572,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,841.61 : 739,989.68 = 381,797.96 : x
  2. Step 2: Convert to fraction form
    493,841.61/739,989.68 = 381,797.96/x
  3. Step 3: Cross multiply
    493,841.61x = 739,989.68 × 381,797.96
  4. Step 4: Simplify right side
    493,841.61x = 282,526,544,636.12
  5. Step 5: Solve for x
    x = 282,526,544,636.12/493,841.61
  6. Step 6: Final answer
    x = 572,099.51

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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.