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Finding the Fourth Proportional to 536,077, 739,823.94 and 354,473.32

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Solution

The fourth proportional to 536,077, 739,823.94 and 354,473.32 is: 489,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,077 : 739,823.94 = 354,473.32 : x
  2. Step 2: Convert to fraction form
    536,077/739,823.94 = 354,473.32/x
  3. Step 3: Cross multiply
    536,077x = 739,823.94 × 354,473.32
  4. Step 4: Simplify right side
    536,077x = 262,247,848,227.28
  5. Step 5: Solve for x
    x = 262,247,848,227.28/536,077
  6. Step 6: Final answer
    x = 489,198.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.