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Finding the Fourth Proportional to 547,205.86, 820,935.24 and 173,228.86

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Solution

The fourth proportional to 547,205.86, 820,935.24 and 173,228.86 is: 259,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,205.86 : 820,935.24 = 173,228.86 : x
  2. Step 2: Convert to fraction form
    547,205.86/820,935.24 = 173,228.86/x
  3. Step 3: Cross multiply
    547,205.86x = 820,935.24 × 173,228.86
  4. Step 4: Simplify right side
    547,205.86x = 142,209,675,759.03
  5. Step 5: Solve for x
    x = 142,209,675,759.03/547,205.86
  6. Step 6: Final answer
    x = 259,883.32

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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.