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Finding the Fourth Proportional to 310,556.57, 428,583.27 and 174,633.31

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Solution

The fourth proportional to 310,556.57, 428,583.27 and 174,633.31 is: 241,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556.57 : 428,583.27 = 174,633.31 : x
  2. Step 2: Convert to fraction form
    310,556.57/428,583.27 = 174,633.31/x
  3. Step 3: Cross multiply
    310,556.57x = 428,583.27 × 174,633.31
  4. Step 4: Simplify right side
    310,556.57x = 74,844,915,050.72
  5. Step 5: Solve for x
    x = 74,844,915,050.72/310,556.57
  6. Step 6: Final answer
    x = 241,002.52

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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.