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Finding the Fourth Proportional to 466,255.72, 699,383.08 and 185,969.80

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Solution

The fourth proportional to 466,255.72, 699,383.08 and 185,969.80 is: 278,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,255.72 : 699,383.08 = 185,969.80 : x
  2. Step 2: Convert to fraction form
    466,255.72/699,383.08 = 185,969.80/x
  3. Step 3: Cross multiply
    466,255.72x = 699,383.08 × 185,969.80
  4. Step 4: Simplify right side
    466,255.72x = 130,064,131,510.98
  5. Step 5: Solve for x
    x = 130,064,131,510.98/466,255.72
  6. Step 6: Final answer
    x = 278,954.50

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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.