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Finding the Fourth Proportional to 294,571.52, 406,536.96 and 181,460.48

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Solution

The fourth proportional to 294,571.52, 406,536.96 and 181,460.48 is: 250,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,571.52 : 406,536.96 = 181,460.48 : x
  2. Step 2: Convert to fraction form
    294,571.52/406,536.96 = 181,460.48/x
  3. Step 3: Cross multiply
    294,571.52x = 406,536.96 × 181,460.48
  4. Step 4: Simplify right side
    294,571.52x = 73,770,391,899.34
  5. Step 5: Solve for x
    x = 73,770,391,899.34/294,571.52
  6. Step 6: Final answer
    x = 250,432.87

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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.