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Finding the Fourth Proportional to 332,194.40, 498,291.60 and 313,823.60

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Solution

The fourth proportional to 332,194.40, 498,291.60 and 313,823.60 is: 470,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,194.40 : 498,291.60 = 313,823.60 : x
  2. Step 2: Convert to fraction form
    332,194.40/498,291.60 = 313,823.60/x
  3. Step 3: Cross multiply
    332,194.40x = 498,291.60 × 313,823.60
  4. Step 4: Simplify right side
    332,194.40x = 156,375,663,761.76
  5. Step 5: Solve for x
    x = 156,375,663,761.76/332,194.40
  6. Step 6: Final answer
    x = 470,735.40

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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.