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Finding the Fourth Proportional to 414,537.90, 622,171.35 and 245,847.30

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Solution

The fourth proportional to 414,537.90, 622,171.35 and 245,847.30 is: 368,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,537.90 : 622,171.35 = 245,847.30 : x
  2. Step 2: Convert to fraction form
    414,537.90/622,171.35 = 245,847.30/x
  3. Step 3: Cross multiply
    414,537.90x = 622,171.35 × 245,847.30
  4. Step 4: Simplify right side
    414,537.90x = 152,959,146,534.86
  5. Step 5: Solve for x
    x = 152,959,146,534.86/414,537.90
  6. Step 6: Final answer
    x = 368,987.12

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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.