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Finding the Fourth Proportional to 298,964.22, 412,580.52 and 178,089

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Solution

The fourth proportional to 298,964.22, 412,580.52 and 178,089 is: 245,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964.22 : 412,580.52 = 178,089 : x
  2. Step 2: Convert to fraction form
    298,964.22/412,580.52 = 178,089/x
  3. Step 3: Cross multiply
    298,964.22x = 412,580.52 × 178,089
  4. Step 4: Simplify right side
    298,964.22x = 73,476,052,226.28
  5. Step 5: Solve for x
    x = 73,476,052,226.28/298,964.22
  6. Step 6: Final answer
    x = 245,768.72

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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.