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Finding the Fourth Proportional to 299,452.90, 449,507.40 and 187,259.80

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Solution

The fourth proportional to 299,452.90, 449,507.40 and 187,259.80 is: 281,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,452.90 : 449,507.40 = 187,259.80 : x
  2. Step 2: Convert to fraction form
    299,452.90/449,507.40 = 187,259.80/x
  3. Step 3: Cross multiply
    299,452.90x = 449,507.40 × 187,259.80
  4. Step 4: Simplify right side
    299,452.90x = 84,174,665,822.52
  5. Step 5: Solve for x
    x = 84,174,665,822.52/299,452.90
  6. Step 6: Final answer
    x = 281,094.84

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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.