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Finding the Fourth Proportional to 492,286.36, 739,970.94 and 324,882.46

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Solution

The fourth proportional to 492,286.36, 739,970.94 and 324,882.46 is: 488,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,286.36 : 739,970.94 = 324,882.46 : x
  2. Step 2: Convert to fraction form
    492,286.36/739,970.94 = 324,882.46/x
  3. Step 3: Cross multiply
    492,286.36x = 739,970.94 × 324,882.46
  4. Step 4: Simplify right side
    492,286.36x = 240,403,579,315.71
  5. Step 5: Solve for x
    x = 240,403,579,315.71/492,286.36
  6. Step 6: Final answer
    x = 488,340.93

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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.