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Finding the Fourth Proportional to 364,812.60, 547,656.30 and 205,015.80

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Solution

The fourth proportional to 364,812.60, 547,656.30 and 205,015.80 is: 307,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,812.60 : 547,656.30 = 205,015.80 : x
  2. Step 2: Convert to fraction form
    364,812.60/547,656.30 = 205,015.80/x
  3. Step 3: Cross multiply
    364,812.60x = 547,656.30 × 205,015.80
  4. Step 4: Simplify right side
    364,812.60x = 112,278,194,469.54
  5. Step 5: Solve for x
    x = 112,278,194,469.54/364,812.60
  6. Step 6: Final answer
    x = 307,769.51

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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.