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Finding the Fourth Proportional to 432,878.60, 649,317.90 and 327,902.60

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Solution

The fourth proportional to 432,878.60, 649,317.90 and 327,902.60 is: 491,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,878.60 : 649,317.90 = 327,902.60 : x
  2. Step 2: Convert to fraction form
    432,878.60/649,317.90 = 327,902.60/x
  3. Step 3: Cross multiply
    432,878.60x = 649,317.90 × 327,902.60
  4. Step 4: Simplify right side
    432,878.60x = 212,913,027,636.54
  5. Step 5: Solve for x
    x = 212,913,027,636.54/432,878.60
  6. Step 6: Final answer
    x = 491,853.90

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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.