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Finding the Fourth Proportional to 414,308.90, 621,791.40 and 161,710.40

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Solution

The fourth proportional to 414,308.90, 621,791.40 and 161,710.40 is: 242,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,308.90 : 621,791.40 = 161,710.40 : x
  2. Step 2: Convert to fraction form
    414,308.90/621,791.40 = 161,710.40/x
  3. Step 3: Cross multiply
    414,308.90x = 621,791.40 × 161,710.40
  4. Step 4: Simplify right side
    414,308.90x = 100,550,136,010.56
  5. Step 5: Solve for x
    x = 100,550,136,010.56/414,308.90
  6. Step 6: Final answer
    x = 242,693.64

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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.