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Finding the Fourth Proportional to 565,936, 781,102.60 and 324,380.48

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Solution

The fourth proportional to 565,936, 781,102.60 and 324,380.48 is: 447,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,936 : 781,102.60 = 324,380.48 : x
  2. Step 2: Convert to fraction form
    565,936/781,102.60 = 324,380.48/x
  3. Step 3: Cross multiply
    565,936x = 781,102.60 × 324,380.48
  4. Step 4: Simplify right side
    565,936x = 253,374,436,317.25
  5. Step 5: Solve for x
    x = 253,374,436,317.25/565,936
  6. Step 6: Final answer
    x = 447,708.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.