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Finding the Fourth Proportional to 399,014, 550,650.84 and 220,177.52

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Solution

The fourth proportional to 399,014, 550,650.84 and 220,177.52 is: 303,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,014 : 550,650.84 = 220,177.52 : x
  2. Step 2: Convert to fraction form
    399,014/550,650.84 = 220,177.52/x
  3. Step 3: Cross multiply
    399,014x = 550,650.84 × 220,177.52
  4. Step 4: Simplify right side
    399,014x = 121,240,936,337.12
  5. Step 5: Solve for x
    x = 121,240,936,337.12/399,014
  6. Step 6: Final answer
    x = 303,851.33

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