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Finding the Fourth Proportional to 310,556.82, 428,583.62 and 174,633.56

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Solution

The fourth proportional to 310,556.82, 428,583.62 and 174,633.56 is: 241,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556.82 : 428,583.62 = 174,633.56 : x
  2. Step 2: Convert to fraction form
    310,556.82/428,583.62 = 174,633.56/x
  3. Step 3: Cross multiply
    310,556.82x = 428,583.62 × 174,633.56
  4. Step 4: Simplify right side
    310,556.82x = 74,845,080,302.20
  5. Step 5: Solve for x
    x = 74,845,080,302.20/310,556.82
  6. Step 6: Final answer
    x = 241,002.86

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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.