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Finding the Fourth Proportional to 294,754.51, 406,739.37 and 167,405.50

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Solution

The fourth proportional to 294,754.51, 406,739.37 and 167,405.50 is: 231,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,754.51 : 406,739.37 = 167,405.50 : x
  2. Step 2: Convert to fraction form
    294,754.51/406,739.37 = 167,405.50/x
  3. Step 3: Cross multiply
    294,754.51x = 406,739.37 × 167,405.50
  4. Step 4: Simplify right side
    294,754.51x = 68,090,407,604.54
  5. Step 5: Solve for x
    x = 68,090,407,604.54/294,754.51
  6. Step 6: Final answer
    x = 231,007.18

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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.