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Finding the Fourth Proportional to 323,787.67, 446,829.89 and 178,599.02

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Solution

The fourth proportional to 323,787.67, 446,829.89 and 178,599.02 is: 246,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,787.67 : 446,829.89 = 178,599.02 : x
  2. Step 2: Convert to fraction form
    323,787.67/446,829.89 = 178,599.02/x
  3. Step 3: Cross multiply
    323,787.67x = 446,829.89 × 178,599.02
  4. Step 4: Simplify right side
    323,787.67x = 79,803,377,333.56
  5. Step 5: Solve for x
    x = 79,803,377,333.56/323,787.67
  6. Step 6: Final answer
    x = 246,468.24

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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.