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Finding the Fourth Proportional to 334,914.54, 462,181.32 and 191,677.38

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Solution

The fourth proportional to 334,914.54, 462,181.32 and 191,677.38 is: 264,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,914.54 : 462,181.32 = 191,677.38 : x
  2. Step 2: Convert to fraction form
    334,914.54/462,181.32 = 191,677.38/x
  3. Step 3: Cross multiply
    334,914.54x = 462,181.32 × 191,677.38
  4. Step 4: Simplify right side
    334,914.54x = 88,589,704,502.54
  5. Step 5: Solve for x
    x = 88,589,704,502.54/334,914.54
  6. Step 6: Final answer
    x = 264,514.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.