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Finding the Fourth Proportional to 299,409.27, 413,254.26 and 197,453.13

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Solution

The fourth proportional to 299,409.27, 413,254.26 and 197,453.13 is: 272,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,409.27 : 413,254.26 = 197,453.13 : x
  2. Step 2: Convert to fraction form
    299,409.27/413,254.26 = 197,453.13/x
  3. Step 3: Cross multiply
    299,409.27x = 413,254.26 × 197,453.13
  4. Step 4: Simplify right side
    299,409.27x = 81,598,347,122.83
  5. Step 5: Solve for x
    x = 81,598,347,122.83/299,409.27
  6. Step 6: Final answer
    x = 272,531.13

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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.