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Finding the Fourth Proportional to 406,092.24, 609,112.42 and 125,586

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Solution

The fourth proportional to 406,092.24, 609,112.42 and 125,586 is: 188,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,092.24 : 609,112.42 = 125,586 : x
  2. Step 2: Convert to fraction form
    406,092.24/609,112.42 = 125,586/x
  3. Step 3: Cross multiply
    406,092.24x = 609,112.42 × 125,586
  4. Step 4: Simplify right side
    406,092.24x = 76,495,992,378.12
  5. Step 5: Solve for x
    x = 76,495,992,378.12/406,092.24
  6. Step 6: Final answer
    x = 188,370.98

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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.