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Finding the Fourth Proportional to 526,902.82, 790,033.86 and 206,670.94

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Solution

The fourth proportional to 526,902.82, 790,033.86 and 206,670.94 is: 309,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,902.82 : 790,033.86 = 206,670.94 : x
  2. Step 2: Convert to fraction form
    526,902.82/790,033.86 = 206,670.94/x
  3. Step 3: Cross multiply
    526,902.82x = 790,033.86 × 206,670.94
  4. Step 4: Simplify right side
    526,902.82x = 163,277,040,478.03
  5. Step 5: Solve for x
    x = 163,277,040,478.03/526,902.82
  6. Step 6: Final answer
    x = 309,880.75

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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.