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Finding the Fourth Proportional to 613,102.23, 919,716.05 and 234,341.78

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Solution

The fourth proportional to 613,102.23, 919,716.05 and 234,341.78 is: 351,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,102.23 : 919,716.05 = 234,341.78 : x
  2. Step 2: Convert to fraction form
    613,102.23/919,716.05 = 234,341.78/x
  3. Step 3: Cross multiply
    613,102.23x = 919,716.05 × 234,341.78
  4. Step 4: Simplify right side
    613,102.23x = 215,527,892,238.84
  5. Step 5: Solve for x
    x = 215,527,892,238.84/613,102.23
  6. Step 6: Final answer
    x = 351,536.63

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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.