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Finding the Fourth Proportional to 509,634.65, 764,456.59 and 154,648.67

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Solution

The fourth proportional to 509,634.65, 764,456.59 and 154,648.67 is: 231,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,634.65 : 764,456.59 = 154,648.67 : x
  2. Step 2: Convert to fraction form
    509,634.65/764,456.59 = 154,648.67/x
  3. Step 3: Cross multiply
    509,634.65x = 764,456.59 × 154,648.67
  4. Step 4: Simplify right side
    509,634.65x = 118,222,194,916.24
  5. Step 5: Solve for x
    x = 118,222,194,916.24/509,634.65
  6. Step 6: Final answer
    x = 231,974.41

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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.