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Finding the Fourth Proportional to 323,785.50, 446,823.99 and 189,649.50

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Solution

The fourth proportional to 323,785.50, 446,823.99 and 189,649.50 is: 261,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,785.50 : 446,823.99 = 189,649.50 : x
  2. Step 2: Convert to fraction form
    323,785.50/446,823.99 = 189,649.50/x
  3. Step 3: Cross multiply
    323,785.50x = 446,823.99 × 189,649.50
  4. Step 4: Simplify right side
    323,785.50x = 84,739,946,291.51
  5. Step 5: Solve for x
    x = 84,739,946,291.51/323,785.50
  6. Step 6: Final answer
    x = 261,716.31

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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.