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Finding the Fourth Proportional to 296,424.70, 409,067.08 and 160,458.62

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Solution

The fourth proportional to 296,424.70, 409,067.08 and 160,458.62 is: 221,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,424.70 : 409,067.08 = 160,458.62 : x
  2. Step 2: Convert to fraction form
    296,424.70/409,067.08 = 160,458.62/x
  3. Step 3: Cross multiply
    296,424.70x = 409,067.08 × 160,458.62
  4. Step 4: Simplify right side
    296,424.70x = 65,638,339,144.23
  5. Step 5: Solve for x
    x = 65,638,339,144.23/296,424.70
  6. Step 6: Final answer
    x = 221,433.43

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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.