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Finding the Fourth Proportional to 323,968.25, 447,072.54 and 178,775.15

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Solution

The fourth proportional to 323,968.25, 447,072.54 and 178,775.15 is: 246,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,968.25 : 447,072.54 = 178,775.15 : x
  2. Step 2: Convert to fraction form
    323,968.25/447,072.54 = 178,775.15/x
  3. Step 3: Cross multiply
    323,968.25x = 447,072.54 × 178,775.15
  4. Step 4: Simplify right side
    323,968.25x = 79,925,458,164.02
  5. Step 5: Solve for x
    x = 79,925,458,164.02/323,968.25
  6. Step 6: Final answer
    x = 246,707.69

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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.