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Finding the Fourth Proportional to 338,101.86, 466,580.76 and 210,777.96

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Solution

The fourth proportional to 338,101.86, 466,580.76 and 210,777.96 is: 290,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,101.86 : 466,580.76 = 210,777.96 : x
  2. Step 2: Convert to fraction form
    338,101.86/466,580.76 = 210,777.96/x
  3. Step 3: Cross multiply
    338,101.86x = 466,580.76 × 210,777.96
  4. Step 4: Simplify right side
    338,101.86x = 98,344,940,768.05
  5. Step 5: Solve for x
    x = 98,344,940,768.05/338,101.86
  6. Step 6: Final answer
    x = 290,873.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.