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Finding the Fourth Proportional to 613,086.42, 918,791.28 and 463,204.02

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Solution

The fourth proportional to 613,086.42, 918,791.28 and 463,204.02 is: 694,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,086.42 : 918,791.28 = 463,204.02 : x
  2. Step 2: Convert to fraction form
    613,086.42/918,791.28 = 463,204.02/x
  3. Step 3: Cross multiply
    613,086.42x = 918,791.28 × 463,204.02
  4. Step 4: Simplify right side
    613,086.42x = 425,587,814,436.95
  5. Step 5: Solve for x
    x = 425,587,814,436.95/613,086.42
  6. Step 6: Final answer
    x = 694,172.63

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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.