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Finding the Fourth Proportional to 299,743.60, 449,615.40 and 232,821.40

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Solution

The fourth proportional to 299,743.60, 449,615.40 and 232,821.40 is: 349,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,743.60 : 449,615.40 = 232,821.40 : x
  2. Step 2: Convert to fraction form
    299,743.60/449,615.40 = 232,821.40/x
  3. Step 3: Cross multiply
    299,743.60x = 449,615.40 × 232,821.40
  4. Step 4: Simplify right side
    299,743.60x = 104,680,086,889.56
  5. Step 5: Solve for x
    x = 104,680,086,889.56/299,743.60
  6. Step 6: Final answer
    x = 349,232.10

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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.