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Finding the Fourth Proportional to 350,986, 526,355.82 and 98,198.58

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Solution

The fourth proportional to 350,986, 526,355.82 and 98,198.58 is: 147,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,986 : 526,355.82 = 98,198.58 : x
  2. Step 2: Convert to fraction form
    350,986/526,355.82 = 98,198.58/x
  3. Step 3: Cross multiply
    350,986x = 526,355.82 × 98,198.58
  4. Step 4: Simplify right side
    350,986x = 51,687,394,098.74
  5. Step 5: Solve for x
    x = 51,687,394,098.74/350,986
  6. Step 6: Final answer
    x = 147,263.41

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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.