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Finding the Fourth Proportional to 406,659.96, 610,009.38 and 196,474.68

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Solution

The fourth proportional to 406,659.96, 610,009.38 and 196,474.68 is: 294,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,659.96 : 610,009.38 = 196,474.68 : x
  2. Step 2: Convert to fraction form
    406,659.96/610,009.38 = 196,474.68/x
  3. Step 3: Cross multiply
    406,659.96x = 610,009.38 × 196,474.68
  4. Step 4: Simplify right side
    406,659.96x = 119,851,397,732.50
  5. Step 5: Solve for x
    x = 119,851,397,732.50/406,659.96
  6. Step 6: Final answer
    x = 294,721.41

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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.