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Finding the Fourth Proportional to 547,813.70, 821,864.55 and 173,836.10

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Solution

The fourth proportional to 547,813.70, 821,864.55 and 173,836.10 is: 260,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,813.70 : 821,864.55 = 173,836.10 : x
  2. Step 2: Convert to fraction form
    547,813.70/821,864.55 = 173,836.10/x
  3. Step 3: Cross multiply
    547,813.70x = 821,864.55 × 173,836.10
  4. Step 4: Simplify right side
    547,813.70x = 142,869,728,100.26
  5. Step 5: Solve for x
    x = 142,869,728,100.26/547,813.70
  6. Step 6: Final answer
    x = 260,799.85

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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.