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Finding the Fourth Proportional to 543,855.23, 815,810.52 and 202,222.94

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Solution

The fourth proportional to 543,855.23, 815,810.52 and 202,222.94 is: 303,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,855.23 : 815,810.52 = 202,222.94 : x
  2. Step 2: Convert to fraction form
    543,855.23/815,810.52 = 202,222.94/x
  3. Step 3: Cross multiply
    543,855.23x = 815,810.52 × 202,222.94
  4. Step 4: Simplify right side
    543,855.23x = 164,975,597,758.28
  5. Step 5: Solve for x
    x = 164,975,597,758.28/543,855.23
  6. Step 6: Final answer
    x = 303,344.70

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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.