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Finding the Fourth Proportional to 332,195.40, 498,293.10 and 232,662.60

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Solution

The fourth proportional to 332,195.40, 498,293.10 and 232,662.60 is: 348,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,195.40 : 498,293.10 = 232,662.60 : x
  2. Step 2: Convert to fraction form
    332,195.40/498,293.10 = 232,662.60/x
  3. Step 3: Cross multiply
    332,195.40x = 498,293.10 × 232,662.60
  4. Step 4: Simplify right side
    332,195.40x = 115,934,168,208.06
  5. Step 5: Solve for x
    x = 115,934,168,208.06/332,195.40
  6. Step 6: Final answer
    x = 348,993.90

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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.