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Finding the Fourth Proportional to 410,880.87, 616,352.29 and 122,669.69

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Solution

The fourth proportional to 410,880.87, 616,352.29 and 122,669.69 is: 184,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,880.87 : 616,352.29 = 122,669.69 : x
  2. Step 2: Convert to fraction form
    410,880.87/616,352.29 = 122,669.69/x
  3. Step 3: Cross multiply
    410,880.87x = 616,352.29 × 122,669.69
  4. Step 4: Simplify right side
    410,880.87x = 75,607,745,579.30
  5. Step 5: Solve for x
    x = 75,607,745,579.30/410,880.87
  6. Step 6: Final answer
    x = 184,013.79

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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.