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Finding the Fourth Proportional to 296,959.87, 409,807.50 and 160,993.47

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Solution

The fourth proportional to 296,959.87, 409,807.50 and 160,993.47 is: 222,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,959.87 : 409,807.50 = 160,993.47 : x
  2. Step 2: Convert to fraction form
    296,959.87/409,807.50 = 160,993.47/x
  3. Step 3: Cross multiply
    296,959.87x = 409,807.50 × 160,993.47
  4. Step 4: Simplify right side
    296,959.87x = 65,976,331,457.03
  5. Step 5: Solve for x
    x = 65,976,331,457.03/296,959.87
  6. Step 6: Final answer
    x = 222,172.55

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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.