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Finding the Fourth Proportional to 307,434.60, 461,151.90 and 222,797.70

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Solution

The fourth proportional to 307,434.60, 461,151.90 and 222,797.70 is: 334,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,434.60 : 461,151.90 = 222,797.70 : x
  2. Step 2: Convert to fraction form
    307,434.60/461,151.90 = 222,797.70/x
  3. Step 3: Cross multiply
    307,434.60x = 461,151.90 × 222,797.70
  4. Step 4: Simplify right side
    307,434.60x = 102,743,582,670.63
  5. Step 5: Solve for x
    x = 102,743,582,670.63/307,434.60
  6. Step 6: Final answer
    x = 334,196.55

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Why These Related Problems?

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