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Finding the Fourth Proportional to 269,216.20, 403,824.30 and 185,235.40

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Solution

The fourth proportional to 269,216.20, 403,824.30 and 185,235.40 is: 277,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216.20 : 403,824.30 = 185,235.40 : x
  2. Step 2: Convert to fraction form
    269,216.20/403,824.30 = 185,235.40/x
  3. Step 3: Cross multiply
    269,216.20x = 403,824.30 × 185,235.40
  4. Step 4: Simplify right side
    269,216.20x = 74,802,555,740.22
  5. Step 5: Solve for x
    x = 74,802,555,740.22/269,216.20
  6. Step 6: Final answer
    x = 277,853.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.