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Finding the Fourth Proportional to 414,010.70, 620,578.65 and 236,134.70

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Solution

The fourth proportional to 414,010.70, 620,578.65 and 236,134.70 is: 353,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,010.70 : 620,578.65 = 236,134.70 : x
  2. Step 2: Convert to fraction form
    414,010.70/620,578.65 = 236,134.70/x
  3. Step 3: Cross multiply
    414,010.70x = 620,578.65 × 236,134.70
  4. Step 4: Simplify right side
    414,010.70x = 146,540,153,344.16
  5. Step 5: Solve for x
    x = 146,540,153,344.16/414,010.70
  6. Step 6: Final answer
    x = 353,952.58

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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.