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Finding the Fourth Proportional to 350,077.40, 525,375.30 and 231,709.40

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Solution

The fourth proportional to 350,077.40, 525,375.30 and 231,709.40 is: 347,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,077.40 : 525,375.30 = 231,709.40 : x
  2. Step 2: Convert to fraction form
    350,077.40/525,375.30 = 231,709.40/x
  3. Step 3: Cross multiply
    350,077.40x = 525,375.30 × 231,709.40
  4. Step 4: Simplify right side
    350,077.40x = 121,734,395,537.82
  5. Step 5: Solve for x
    x = 121,734,395,537.82/350,077.40
  6. Step 6: Final answer
    x = 347,735.66

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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.