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Finding the Fourth Proportional to 323,705.31, 446,703.52 and 178,511.11

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Solution

The fourth proportional to 323,705.31, 446,703.52 and 178,511.11 is: 246,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,705.31 : 446,703.52 = 178,511.11 : x
  2. Step 2: Convert to fraction form
    323,705.31/446,703.52 = 178,511.11/x
  3. Step 3: Cross multiply
    323,705.31x = 446,703.52 × 178,511.11
  4. Step 4: Simplify right side
    323,705.31x = 79,741,541,196.11
  5. Step 5: Solve for x
    x = 79,741,541,196.11/323,705.31
  6. Step 6: Final answer
    x = 246,339.92

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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.