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Finding the Fourth Proportional to 509,854.89, 764,093.40 and 194,139.57

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Solution

The fourth proportional to 509,854.89, 764,093.40 and 194,139.57 is: 290,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,854.89 : 764,093.40 = 194,139.57 : x
  2. Step 2: Convert to fraction form
    509,854.89/764,093.40 = 194,139.57/x
  3. Step 3: Cross multiply
    509,854.89x = 764,093.40 × 194,139.57
  4. Step 4: Simplify right side
    509,854.89x = 148,340,764,115.84
  5. Step 5: Solve for x
    x = 148,340,764,115.84/509,854.89
  6. Step 6: Final answer
    x = 290,947.03

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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.