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Finding the Fourth Proportional to 543,870.14, 815,720.97 and 277,827.26

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Solution

The fourth proportional to 543,870.14, 815,720.97 and 277,827.26 is: 416,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,870.14 : 815,720.97 = 277,827.26 : x
  2. Step 2: Convert to fraction form
    543,870.14/815,720.97 = 277,827.26/x
  3. Step 3: Cross multiply
    543,870.14x = 815,720.97 × 277,827.26
  4. Step 4: Simplify right side
    543,870.14x = 226,629,522,019.64
  5. Step 5: Solve for x
    x = 226,629,522,019.64/543,870.14
  6. Step 6: Final answer
    x = 416,697.86

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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.