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Finding the Fourth Proportional to 613,881.39, 847,286.97 and 412,560.75

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Solution

The fourth proportional to 613,881.39, 847,286.97 and 412,560.75 is: 569,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,881.39 : 847,286.97 = 412,560.75 : x
  2. Step 2: Convert to fraction form
    613,881.39/847,286.97 = 412,560.75/x
  3. Step 3: Cross multiply
    613,881.39x = 847,286.97 × 412,560.75
  4. Step 4: Simplify right side
    613,881.39x = 349,557,347,808.43
  5. Step 5: Solve for x
    x = 349,557,347,808.43/613,881.39
  6. Step 6: Final answer
    x = 569,421.64

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