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Finding the Fourth Proportional to 294,930, 407,002.92 and 167,605.68

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Solution

The fourth proportional to 294,930, 407,002.92 and 167,605.68 is: 231,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,930 : 407,002.92 = 167,605.68 : x
  2. Step 2: Convert to fraction form
    294,930/407,002.92 = 167,605.68/x
  3. Step 3: Cross multiply
    294,930x = 407,002.92 × 167,605.68
  4. Step 4: Simplify right side
    294,930x = 68,216,001,168.59
  5. Step 5: Solve for x
    x = 68,216,001,168.59/294,930
  6. Step 6: Final answer
    x = 231,295.57

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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.