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Finding the Fourth Proportional to 325,446.96, 488,076.20 and 97,733.40

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Solution

The fourth proportional to 325,446.96, 488,076.20 and 97,733.40 is: 146,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,446.96 : 488,076.20 = 97,733.40 : x
  2. Step 2: Convert to fraction form
    325,446.96/488,076.20 = 97,733.40/x
  3. Step 3: Cross multiply
    325,446.96x = 488,076.20 × 97,733.40
  4. Step 4: Simplify right side
    325,446.96x = 47,701,345,996.41
  5. Step 5: Solve for x
    x = 47,701,345,996.41/325,446.96
  6. Step 6: Final answer
    x = 146,571.80

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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.