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Finding the Fourth Proportional to 548,469.76, 822,689.28 and 174,515.20

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Solution

The fourth proportional to 548,469.76, 822,689.28 and 174,515.20 is: 261,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,469.76 : 822,689.28 = 174,515.20 : x
  2. Step 2: Convert to fraction form
    548,469.76/822,689.28 = 174,515.20/x
  3. Step 3: Cross multiply
    548,469.76x = 822,689.28 × 174,515.20
  4. Step 4: Simplify right side
    548,469.76x = 143,571,784,237.06
  5. Step 5: Solve for x
    x = 143,571,784,237.06/548,469.76
  6. Step 6: Final answer
    x = 261,767.91

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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.