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Finding the Fourth Proportional to 406,762.92, 610,179.62 and 107,241.12

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Solution

The fourth proportional to 406,762.92, 610,179.62 and 107,241.12 is: 160,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,762.92 : 610,179.62 = 107,241.12 : x
  2. Step 2: Convert to fraction form
    406,762.92/610,179.62 = 107,241.12/x
  3. Step 3: Cross multiply
    406,762.92x = 610,179.62 × 107,241.12
  4. Step 4: Simplify right side
    406,762.92x = 65,436,345,313.77
  5. Step 5: Solve for x
    x = 65,436,345,313.77/406,762.92
  6. Step 6: Final answer
    x = 160,870.97

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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.