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Finding the Fourth Proportional to 332,202.34, 498,303.60 and 82,884.34

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Solution

The fourth proportional to 332,202.34, 498,303.60 and 82,884.34 is: 124,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,202.34 : 498,303.60 = 82,884.34 : x
  2. Step 2: Convert to fraction form
    332,202.34/498,303.60 = 82,884.34/x
  3. Step 3: Cross multiply
    332,202.34x = 498,303.60 × 82,884.34
  4. Step 4: Simplify right side
    332,202.34x = 41,301,565,005.62
  5. Step 5: Solve for x
    x = 41,301,565,005.62/332,202.34
  6. Step 6: Final answer
    x = 124,326.53

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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.