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Finding the Fourth Proportional to 332,113.24, 458,326.38 and 188,893.90

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Solution

The fourth proportional to 332,113.24, 458,326.38 and 188,893.90 is: 260,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,113.24 : 458,326.38 = 188,893.90 : x
  2. Step 2: Convert to fraction form
    332,113.24/458,326.38 = 188,893.90/x
  3. Step 3: Cross multiply
    332,113.24x = 458,326.38 × 188,893.90
  4. Step 4: Simplify right side
    332,113.24x = 86,575,057,391.08
  5. Step 5: Solve for x
    x = 86,575,057,391.08/332,113.24
  6. Step 6: Final answer
    x = 260,679.33

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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.