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Finding the Fourth Proportional to 294,450.51, 406,353.92 and 167,137.95

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Solution

The fourth proportional to 294,450.51, 406,353.92 and 167,137.95 is: 230,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,450.51 : 406,353.92 = 167,137.95 : x
  2. Step 2: Convert to fraction form
    294,450.51/406,353.92 = 167,137.95/x
  3. Step 3: Cross multiply
    294,450.51x = 406,353.92 × 167,137.95
  4. Step 4: Simplify right side
    294,450.51x = 67,917,160,327.57
  5. Step 5: Solve for x
    x = 67,917,160,327.57/294,450.51
  6. Step 6: Final answer
    x = 230,657.30

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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.