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Finding the Fourth Proportional to 406,137.33, 609,765.03 and 206,592.75

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Solution

The fourth proportional to 406,137.33, 609,765.03 and 206,592.75 is: 310,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,137.33 : 609,765.03 = 206,592.75 : x
  2. Step 2: Convert to fraction form
    406,137.33/609,765.03 = 206,592.75/x
  3. Step 3: Cross multiply
    406,137.33x = 609,765.03 × 206,592.75
  4. Step 4: Simplify right side
    406,137.33x = 125,973,034,401.53
  5. Step 5: Solve for x
    x = 125,973,034,401.53/406,137.33
  6. Step 6: Final answer
    x = 310,173.49

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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.