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Finding the Fourth Proportional to 306,287.36, 422,714.40 and 185,433.20

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Solution

The fourth proportional to 306,287.36, 422,714.40 and 185,433.20 is: 255,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,287.36 : 422,714.40 = 185,433.20 : x
  2. Step 2: Convert to fraction form
    306,287.36/422,714.40 = 185,433.20/x
  3. Step 3: Cross multiply
    306,287.36x = 422,714.40 × 185,433.20
  4. Step 4: Simplify right side
    306,287.36x = 78,385,283,878.08
  5. Step 5: Solve for x
    x = 78,385,283,878.08/306,287.36
  6. Step 6: Final answer
    x = 255,920.73

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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.