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Finding the Fourth Proportional to 298,987.24, 412,612.26 and 178,112

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Solution

The fourth proportional to 298,987.24, 412,612.26 and 178,112 is: 245,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,987.24 : 412,612.26 = 178,112 : x
  2. Step 2: Convert to fraction form
    298,987.24/412,612.26 = 178,112/x
  3. Step 3: Cross multiply
    298,987.24x = 412,612.26 × 178,112
  4. Step 4: Simplify right side
    298,987.24x = 73,491,194,853.12
  5. Step 5: Solve for x
    x = 73,491,194,853.12/298,987.24
  6. Step 6: Final answer
    x = 245,800.44

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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.