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Finding the Fourth Proportional to 414,515.90, 622,695.45 and 403,456.70

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Solution

The fourth proportional to 414,515.90, 622,695.45 and 403,456.70 is: 606,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,515.90 : 622,695.45 = 403,456.70 : x
  2. Step 2: Convert to fraction form
    414,515.90/622,695.45 = 403,456.70/x
  3. Step 3: Cross multiply
    414,515.90x = 622,695.45 × 403,456.70
  4. Step 4: Simplify right side
    414,515.90x = 251,230,651,362.02
  5. Step 5: Solve for x
    x = 251,230,651,362.02/414,515.90
  6. Step 6: Final answer
    x = 606,082.06

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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.