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Finding the Fourth Proportional to 493,688.22, 740,379.24 and 178,104.12

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Solution

The fourth proportional to 493,688.22, 740,379.24 and 178,104.12 is: 267,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,688.22 : 740,379.24 = 178,104.12 : x
  2. Step 2: Convert to fraction form
    493,688.22/740,379.24 = 178,104.12/x
  3. Step 3: Cross multiply
    493,688.22x = 740,379.24 × 178,104.12
  4. Step 4: Simplify right side
    493,688.22x = 131,864,593,006.47
  5. Step 5: Solve for x
    x = 131,864,593,006.47/493,688.22
  6. Step 6: Final answer
    x = 267,100.95

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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.