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Finding the Fourth Proportional to 407,255.70, 610,638.12 and 182,575.50

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Solution

The fourth proportional to 407,255.70, 610,638.12 and 182,575.50 is: 273,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,255.70 : 610,638.12 = 182,575.50 : x
  2. Step 2: Convert to fraction form
    407,255.70/610,638.12 = 182,575.50/x
  3. Step 3: Cross multiply
    407,255.70x = 610,638.12 × 182,575.50
  4. Step 4: Simplify right side
    407,255.70x = 111,487,560,078.06
  5. Step 5: Solve for x
    x = 111,487,560,078.06/407,255.70
  6. Step 6: Final answer
    x = 273,753.22

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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.