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Finding the Fourth Proportional to 471,414.44, 707,121.66 and 388,133.48

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Solution

The fourth proportional to 471,414.44, 707,121.66 and 388,133.48 is: 582,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,414.44 : 707,121.66 = 388,133.48 : x
  2. Step 2: Convert to fraction form
    471,414.44/707,121.66 = 388,133.48/x
  3. Step 3: Cross multiply
    471,414.44x = 707,121.66 × 388,133.48
  4. Step 4: Simplify right side
    471,414.44x = 274,457,590,679.18
  5. Step 5: Solve for x
    x = 274,457,590,679.18/471,414.44
  6. Step 6: Final answer
    x = 582,200.22

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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.