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Finding the Fourth Proportional to 406,857.92, 610,217.62 and 107,341.38

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Solution

The fourth proportional to 406,857.92, 610,217.62 and 107,341.38 is: 160,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,857.92 : 610,217.62 = 107,341.38 : x
  2. Step 2: Convert to fraction form
    406,857.92/610,217.62 = 107,341.38/x
  3. Step 3: Cross multiply
    406,857.92x = 610,217.62 × 107,341.38
  4. Step 4: Simplify right side
    406,857.92x = 65,501,601,162.76
  5. Step 5: Solve for x
    x = 65,501,601,162.76/406,857.92
  6. Step 6: Final answer
    x = 160,993.80

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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.