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Finding the Fourth Proportional to 309,649.70, 464,592.86 and 120,243.05

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Solution

The fourth proportional to 309,649.70, 464,592.86 and 120,243.05 is: 180,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,649.70 : 464,592.86 = 120,243.05 : x
  2. Step 2: Convert to fraction form
    309,649.70/464,592.86 = 120,243.05/x
  3. Step 3: Cross multiply
    309,649.70x = 464,592.86 × 120,243.05
  4. Step 4: Simplify right side
    309,649.70x = 55,864,062,494.62
  5. Step 5: Solve for x
    x = 55,864,062,494.62/309,649.70
  6. Step 6: Final answer
    x = 180,410.52

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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.