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Finding the Fourth Proportional to 493,795.76, 740,540.52 and 178,211.60

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Solution

The fourth proportional to 493,795.76, 740,540.52 and 178,211.60 is: 267,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,795.76 : 740,540.52 = 178,211.60 : x
  2. Step 2: Convert to fraction form
    493,795.76/740,540.52 = 178,211.60/x
  3. Step 3: Cross multiply
    493,795.76x = 740,540.52 × 178,211.60
  4. Step 4: Simplify right side
    493,795.76x = 131,972,910,934.03
  5. Step 5: Solve for x
    x = 131,972,910,934.03/493,795.76
  6. Step 6: Final answer
    x = 267,262.14

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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.