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Finding the Fourth Proportional to 323,334.61, 446,201.85 and 187,447.32

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Solution

The fourth proportional to 323,334.61, 446,201.85 and 187,447.32 is: 258,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,334.61 : 446,201.85 = 187,447.32 : x
  2. Step 2: Convert to fraction form
    323,334.61/446,201.85 = 187,447.32/x
  3. Step 3: Cross multiply
    323,334.61x = 446,201.85 × 187,447.32
  4. Step 4: Simplify right side
    323,334.61x = 83,639,340,961.54
  5. Step 5: Solve for x
    x = 83,639,340,961.54/323,334.61
  6. Step 6: Final answer
    x = 258,677.35

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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.