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Finding the Fourth Proportional to 354,879.30, 532,523.16 and 197,094.54

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Solution

The fourth proportional to 354,879.30, 532,523.16 and 197,094.54 is: 295,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,879.30 : 532,523.16 = 197,094.54 : x
  2. Step 2: Convert to fraction form
    354,879.30/532,523.16 = 197,094.54/x
  3. Step 3: Cross multiply
    354,879.30x = 532,523.16 × 197,094.54
  4. Step 4: Simplify right side
    354,879.30x = 104,957,407,259.55
  5. Step 5: Solve for x
    x = 104,957,407,259.55/354,879.30
  6. Step 6: Final answer
    x = 295,755.23

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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.