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Finding the Fourth Proportional to 406,054.38, 609,139.89 and 125,593.50

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Solution

The fourth proportional to 406,054.38, 609,139.89 and 125,593.50 is: 188,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,054.38 : 609,139.89 = 125,593.50 : x
  2. Step 2: Convert to fraction form
    406,054.38/609,139.89 = 125,593.50/x
  3. Step 3: Cross multiply
    406,054.38x = 609,139.89 × 125,593.50
  4. Step 4: Simplify right side
    406,054.38x = 76,504,010,774.72
  5. Step 5: Solve for x
    x = 76,504,010,774.72/406,054.38
  6. Step 6: Final answer
    x = 188,408.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.