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Finding the Fourth Proportional to 354,564.06, 531,850.77 and 117,906.78

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Solution

The fourth proportional to 354,564.06, 531,850.77 and 117,906.78 is: 176,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,564.06 : 531,850.77 = 117,906.78 : x
  2. Step 2: Convert to fraction form
    354,564.06/531,850.77 = 117,906.78/x
  3. Step 3: Cross multiply
    354,564.06x = 531,850.77 × 117,906.78
  4. Step 4: Simplify right side
    354,564.06x = 62,708,811,731.22
  5. Step 5: Solve for x
    x = 62,708,811,731.22/354,564.06
  6. Step 6: Final answer
    x = 176,861.73

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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.