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Finding the Fourth Proportional to 299,905.59, 413,601.62 and 248,837.46

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Solution

The fourth proportional to 299,905.59, 413,601.62 and 248,837.46 is: 343,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,905.59 : 413,601.62 = 248,837.46 : x
  2. Step 2: Convert to fraction form
    299,905.59/413,601.62 = 248,837.46/x
  3. Step 3: Cross multiply
    299,905.59x = 413,601.62 × 248,837.46
  4. Step 4: Simplify right side
    299,905.59x = 102,919,576,572.69
  5. Step 5: Solve for x
    x = 102,919,576,572.69/299,905.59
  6. Step 6: Final answer
    x = 343,173.25

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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.