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Finding the Fourth Proportional to 509,959.80, 764,939.70 and 230,023.80

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Solution

The fourth proportional to 509,959.80, 764,939.70 and 230,023.80 is: 345,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,959.80 : 764,939.70 = 230,023.80 : x
  2. Step 2: Convert to fraction form
    509,959.80/764,939.70 = 230,023.80/x
  3. Step 3: Cross multiply
    509,959.80x = 764,939.70 × 230,023.80
  4. Step 4: Simplify right side
    509,959.80x = 175,954,336,564.86
  5. Step 5: Solve for x
    x = 175,954,336,564.86/509,959.80
  6. Step 6: Final answer
    x = 345,035.70

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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.