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Finding the Fourth Proportional to 609,523.94, 914,346 and 210,112.14

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Solution

The fourth proportional to 609,523.94, 914,346 and 210,112.14 is: 315,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,523.94 : 914,346 = 210,112.14 : x
  2. Step 2: Convert to fraction form
    609,523.94/914,346 = 210,112.14/x
  3. Step 3: Cross multiply
    609,523.94x = 914,346 × 210,112.14
  4. Step 4: Simplify right side
    609,523.94x = 192,115,194,760.44
  5. Step 5: Solve for x
    x = 192,115,194,760.44/609,523.94
  6. Step 6: Final answer
    x = 315,188.92

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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.