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Finding the Fourth Proportional to 323,531.57, 446,476.80 and 178,342.50

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Solution

The fourth proportional to 323,531.57, 446,476.80 and 178,342.50 is: 246,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,531.57 : 446,476.80 = 178,342.50 : x
  2. Step 2: Convert to fraction form
    323,531.57/446,476.80 = 178,342.50/x
  3. Step 3: Cross multiply
    323,531.57x = 446,476.80 × 178,342.50
  4. Step 4: Simplify right side
    323,531.57x = 79,625,788,704
  5. Step 5: Solve for x
    x = 79,625,788,704/323,531.57
  6. Step 6: Final answer
    x = 246,114.44

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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.