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Finding the Fourth Proportional to 271,531.44, 407,326.32 and 113,775.84

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Solution

The fourth proportional to 271,531.44, 407,326.32 and 113,775.84 is: 170,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,531.44 : 407,326.32 = 113,775.84 : x
  2. Step 2: Convert to fraction form
    271,531.44/407,326.32 = 113,775.84/x
  3. Step 3: Cross multiply
    271,531.44x = 407,326.32 × 113,775.84
  4. Step 4: Simplify right side
    271,531.44x = 46,343,894,212.11
  5. Step 5: Solve for x
    x = 46,343,894,212.11/271,531.44
  6. Step 6: Final answer
    x = 170,675.98

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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.