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Finding the Fourth Proportional to 537,876.20, 806,843.46 and 201,005.30

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Solution

The fourth proportional to 537,876.20, 806,843.46 and 201,005.30 is: 301,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,876.20 : 806,843.46 = 201,005.30 : x
  2. Step 2: Convert to fraction form
    537,876.20/806,843.46 = 201,005.30/x
  3. Step 3: Cross multiply
    537,876.20x = 806,843.46 × 201,005.30
  4. Step 4: Simplify right side
    537,876.20x = 162,179,811,730.34
  5. Step 5: Solve for x
    x = 162,179,811,730.34/537,876.20
  6. Step 6: Final answer
    x = 301,518.85

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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.