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Finding the Fourth Proportional to 509,854.26, 764,092.46 and 194,138.94

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Solution

The fourth proportional to 509,854.26, 764,092.46 and 194,138.94 is: 290,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,854.26 : 764,092.46 = 194,138.94 : x
  2. Step 2: Convert to fraction form
    509,854.26/764,092.46 = 194,138.94/x
  3. Step 3: Cross multiply
    509,854.26x = 764,092.46 × 194,138.94
  4. Step 4: Simplify right side
    509,854.26x = 148,340,100,246.39
  5. Step 5: Solve for x
    x = 148,340,100,246.39/509,854.26
  6. Step 6: Final answer
    x = 290,946.08

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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.