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Finding the Fourth Proportional to 296,930.63, 409,765.39 and 160,964.84

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Solution

The fourth proportional to 296,930.63, 409,765.39 and 160,964.84 is: 222,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,930.63 : 409,765.39 = 160,964.84 : x
  2. Step 2: Convert to fraction form
    296,930.63/409,765.39 = 160,964.84/x
  3. Step 3: Cross multiply
    296,930.63x = 409,765.39 × 160,964.84
  4. Step 4: Simplify right side
    296,930.63x = 65,957,817,987.65
  5. Step 5: Solve for x
    x = 65,957,817,987.65/296,930.63
  6. Step 6: Final answer
    x = 222,132.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.