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Finding the Fourth Proportional to 410,872.54, 616,448.94 and 221,352.36

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Solution

The fourth proportional to 410,872.54, 616,448.94 and 221,352.36 is: 332,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,872.54 : 616,448.94 = 221,352.36 : x
  2. Step 2: Convert to fraction form
    410,872.54/616,448.94 = 221,352.36/x
  3. Step 3: Cross multiply
    410,872.54x = 616,448.94 × 221,352.36
  4. Step 4: Simplify right side
    410,872.54x = 136,452,427,688.50
  5. Step 5: Solve for x
    x = 136,452,427,688.50/410,872.54
  6. Step 6: Final answer
    x = 332,104.03

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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.