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Finding the Fourth Proportional to 406,403.98, 609,999.63 and 196,189.54

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Solution

The fourth proportional to 406,403.98, 609,999.63 and 196,189.54 is: 294,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,403.98 : 609,999.63 = 196,189.54 : x
  2. Step 2: Convert to fraction form
    406,403.98/609,999.63 = 196,189.54/x
  3. Step 3: Cross multiply
    406,403.98x = 609,999.63 × 196,189.54
  4. Step 4: Simplify right side
    406,403.98x = 119,675,546,809.87
  5. Step 5: Solve for x
    x = 119,675,546,809.87/406,403.98
  6. Step 6: Final answer
    x = 294,474.35

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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.