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Finding the Fourth Proportional to 406,402.98, 609,998.13 and 196,188.54

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Solution

The fourth proportional to 406,402.98, 609,998.13 and 196,188.54 is: 294,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,402.98 : 609,998.13 = 196,188.54 : x
  2. Step 2: Convert to fraction form
    406,402.98/609,998.13 = 196,188.54/x
  3. Step 3: Cross multiply
    406,402.98x = 609,998.13 × 196,188.54
  4. Step 4: Simplify right side
    406,402.98x = 119,674,642,527.43
  5. Step 5: Solve for x
    x = 119,674,642,527.43/406,402.98
  6. Step 6: Final answer
    x = 294,472.85

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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.