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Finding the Fourth Proportional to 363,749.60, 545,624.40 and 164,295.20

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Solution

The fourth proportional to 363,749.60, 545,624.40 and 164,295.20 is: 246,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,749.60 : 545,624.40 = 164,295.20 : x
  2. Step 2: Convert to fraction form
    363,749.60/545,624.40 = 164,295.20/x
  3. Step 3: Cross multiply
    363,749.60x = 545,624.40 × 164,295.20
  4. Step 4: Simplify right side
    363,749.60x = 89,643,469,922.88
  5. Step 5: Solve for x
    x = 89,643,469,922.88/363,749.60
  6. Step 6: Final answer
    x = 246,442.80

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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.