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Finding the Fourth Proportional to 354,695.74, 531,945.18 and 98,469.46

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Solution

The fourth proportional to 354,695.74, 531,945.18 and 98,469.46 is: 147,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,695.74 : 531,945.18 = 98,469.46 : x
  2. Step 2: Convert to fraction form
    354,695.74/531,945.18 = 98,469.46/x
  3. Step 3: Cross multiply
    354,695.74x = 531,945.18 × 98,469.46
  4. Step 4: Simplify right side
    354,695.74x = 52,380,354,624.20
  5. Step 5: Solve for x
    x = 52,380,354,624.20/354,695.74
  6. Step 6: Final answer
    x = 147,676.86

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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.