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Finding the Fourth Proportional to 410,880.89, 616,352.27 and 122,669.74

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Solution

The fourth proportional to 410,880.89, 616,352.27 and 122,669.74 is: 184,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,880.89 : 616,352.27 = 122,669.74 : x
  2. Step 2: Convert to fraction form
    410,880.89/616,352.27 = 122,669.74/x
  3. Step 3: Cross multiply
    410,880.89x = 616,352.27 × 122,669.74
  4. Step 4: Simplify right side
    410,880.89x = 75,607,772,709.31
  5. Step 5: Solve for x
    x = 75,607,772,709.31/410,880.89
  6. Step 6: Final answer
    x = 184,013.85

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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.