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Finding the Fourth Proportional to 414,390.88, 620,428.92 and 224,171.02

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Solution

The fourth proportional to 414,390.88, 620,428.92 and 224,171.02 is: 335,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,390.88 : 620,428.92 = 224,171.02 : x
  2. Step 2: Convert to fraction form
    414,390.88/620,428.92 = 224,171.02/x
  3. Step 3: Cross multiply
    414,390.88x = 620,428.92 × 224,171.02
  4. Step 4: Simplify right side
    414,390.88x = 139,082,183,833.90
  5. Step 5: Solve for x
    x = 139,082,183,833.90/414,390.88
  6. Step 6: Final answer
    x = 335,630.42

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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.