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Finding the Fourth Proportional to 407,188.89, 610,987.05 and 182,709.81

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Solution

The fourth proportional to 407,188.89, 610,987.05 and 182,709.81 is: 274,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,188.89 : 610,987.05 = 182,709.81 : x
  2. Step 2: Convert to fraction form
    407,188.89/610,987.05 = 182,709.81/x
  3. Step 3: Cross multiply
    407,188.89x = 610,987.05 × 182,709.81
  4. Step 4: Simplify right side
    407,188.89x = 111,633,327,817.96
  5. Step 5: Solve for x
    x = 111,633,327,817.96/407,188.89
  6. Step 6: Final answer
    x = 274,156.12

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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.