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Finding the Fourth Proportional to 414,066.90, 620,772.30 and 227,078.40

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Solution

The fourth proportional to 414,066.90, 620,772.30 and 227,078.40 is: 340,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,066.90 : 620,772.30 = 227,078.40 : x
  2. Step 2: Convert to fraction form
    414,066.90/620,772.30 = 227,078.40/x
  3. Step 3: Cross multiply
    414,066.90x = 620,772.30 × 227,078.40
  4. Step 4: Simplify right side
    414,066.90x = 140,963,980,648.32
  5. Step 5: Solve for x
    x = 140,963,980,648.32/414,066.90
  6. Step 6: Final answer
    x = 340,437.69

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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.