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Finding the Fourth Proportional to 332,444, 458,805.92 and 198,308

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Solution

The fourth proportional to 332,444, 458,805.92 and 198,308 is: 273,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,444 : 458,805.92 = 198,308 : x
  2. Step 2: Convert to fraction form
    332,444/458,805.92 = 198,308/x
  3. Step 3: Cross multiply
    332,444x = 458,805.92 × 198,308
  4. Step 4: Simplify right side
    332,444x = 90,984,884,383.36
  5. Step 5: Solve for x
    x = 90,984,884,383.36/332,444
  6. Step 6: Final answer
    x = 273,684.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.