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Finding the Fourth Proportional to 493,689.22, 740,380.74 and 178,105.12

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Solution

The fourth proportional to 493,689.22, 740,380.74 and 178,105.12 is: 267,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,689.22 : 740,380.74 = 178,105.12 : x
  2. Step 2: Convert to fraction form
    493,689.22/740,380.74 = 178,105.12/x
  3. Step 3: Cross multiply
    493,689.22x = 740,380.74 × 178,105.12
  4. Step 4: Simplify right side
    493,689.22x = 131,865,600,543.39
  5. Step 5: Solve for x
    x = 131,865,600,543.39/493,689.22
  6. Step 6: Final answer
    x = 267,102.45

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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.