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Finding the Fourth Proportional to 471,539.55, 706,912.62 and 205,099.41

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Solution

The fourth proportional to 471,539.55, 706,912.62 and 205,099.41 is: 307,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,539.55 : 706,912.62 = 205,099.41 : x
  2. Step 2: Convert to fraction form
    471,539.55/706,912.62 = 205,099.41/x
  3. Step 3: Cross multiply
    471,539.55x = 706,912.62 × 205,099.41
  4. Step 4: Simplify right side
    471,539.55x = 144,987,361,283.55
  5. Step 5: Solve for x
    x = 144,987,361,283.55/471,539.55
  6. Step 6: Final answer
    x = 307,476.57

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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.