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Finding the Fourth Proportional to 299,314.26, 449,094.51 and 219,758.49

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Solution

The fourth proportional to 299,314.26, 449,094.51 and 219,758.49 is: 329,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,314.26 : 449,094.51 = 219,758.49 : x
  2. Step 2: Convert to fraction form
    299,314.26/449,094.51 = 219,758.49/x
  3. Step 3: Cross multiply
    299,314.26x = 449,094.51 × 219,758.49
  4. Step 4: Simplify right side
    299,314.26x = 98,692,331,384.89
  5. Step 5: Solve for x
    x = 98,692,331,384.89/299,314.26
  6. Step 6: Final answer
    x = 329,728.13

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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.