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Finding the Fourth Proportional to 347,898.85, 522,094.61 and 158,383.76

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Solution

The fourth proportional to 347,898.85, 522,094.61 and 158,383.76 is: 237,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,898.85 : 522,094.61 = 158,383.76 : x
  2. Step 2: Convert to fraction form
    347,898.85/522,094.61 = 158,383.76/x
  3. Step 3: Cross multiply
    347,898.85x = 522,094.61 × 158,383.76
  4. Step 4: Simplify right side
    347,898.85x = 82,691,305,193.02
  5. Step 5: Solve for x
    x = 82,691,305,193.02/347,898.85
  6. Step 6: Final answer
    x = 237,687.78

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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.