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Finding the Fourth Proportional to 547,033.56, 820,916.88 and 192,048.64

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Solution

The fourth proportional to 547,033.56, 820,916.88 and 192,048.64 is: 288,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,033.56 : 820,916.88 = 192,048.64 : x
  2. Step 2: Convert to fraction form
    547,033.56/820,916.88 = 192,048.64/x
  3. Step 3: Cross multiply
    547,033.56x = 820,916.88 × 192,048.64
  4. Step 4: Simplify right side
    547,033.56x = 157,655,970,357.04
  5. Step 5: Solve for x
    x = 157,655,970,357.04/547,033.56
  6. Step 6: Final answer
    x = 288,201.64

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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.