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Finding the Fourth Proportional to 324,654.24, 448,014.26 and 181,415.46

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Solution

The fourth proportional to 324,654.24, 448,014.26 and 181,415.46 is: 250,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,654.24 : 448,014.26 = 181,415.46 : x
  2. Step 2: Convert to fraction form
    324,654.24/448,014.26 = 181,415.46/x
  3. Step 3: Cross multiply
    324,654.24x = 448,014.26 × 181,415.46
  4. Step 4: Simplify right side
    324,654.24x = 81,276,712,157.38
  5. Step 5: Solve for x
    x = 81,276,712,157.38/324,654.24
  6. Step 6: Final answer
    x = 250,348.53

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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.