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Finding the Fourth Proportional to 406,770.82, 610,162.38 and 153,983.43

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Solution

The fourth proportional to 406,770.82, 610,162.38 and 153,983.43 is: 230,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,770.82 : 610,162.38 = 153,983.43 : x
  2. Step 2: Convert to fraction form
    406,770.82/610,162.38 = 153,983.43/x
  3. Step 3: Cross multiply
    406,770.82x = 610,162.38 × 153,983.43
  4. Step 4: Simplify right side
    406,770.82x = 93,954,898,920.03
  5. Step 5: Solve for x
    x = 93,954,898,920.03/406,770.82
  6. Step 6: Final answer
    x = 230,977.48

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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.