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Finding the Fourth Proportional to 599,469, 899,647.34 and 283,926.84

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Solution

The fourth proportional to 599,469, 899,647.34 and 283,926.84 is: 426,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,469 : 899,647.34 = 283,926.84 : x
  2. Step 2: Convert to fraction form
    599,469/899,647.34 = 283,926.84/x
  3. Step 3: Cross multiply
    599,469x = 899,647.34 × 283,926.84
  4. Step 4: Simplify right side
    599,469x = 255,434,024,940.97
  5. Step 5: Solve for x
    x = 255,434,024,940.97/599,469
  6. Step 6: Final answer
    x = 426,100.47

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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.