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Finding the Fourth Proportional to 299,811.60, 449,494.96 and 181,454.80

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Solution

The fourth proportional to 299,811.60, 449,494.96 and 181,454.80 is: 272,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,811.60 : 449,494.96 = 181,454.80 : x
  2. Step 2: Convert to fraction form
    299,811.60/449,494.96 = 181,454.80/x
  3. Step 3: Cross multiply
    299,811.60x = 449,494.96 × 181,454.80
  4. Step 4: Simplify right side
    299,811.60x = 81,563,018,067.81
  5. Step 5: Solve for x
    x = 81,563,018,067.81/299,811.60
  6. Step 6: Final answer
    x = 272,047.57

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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.