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Finding the Fourth Proportional to 294,768.72, 406,665.36 and 181,394.64

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Solution

The fourth proportional to 294,768.72, 406,665.36 and 181,394.64 is: 250,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,768.72 : 406,665.36 = 181,394.64 : x
  2. Step 2: Convert to fraction form
    294,768.72/406,665.36 = 181,394.64/x
  3. Step 3: Cross multiply
    294,768.72x = 406,665.36 × 181,394.64
  4. Step 4: Simplify right side
    294,768.72x = 73,766,916,577.67
  5. Step 5: Solve for x
    x = 73,766,916,577.67/294,768.72
  6. Step 6: Final answer
    x = 250,253.54

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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.