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Finding the Fourth Proportional to 296,646.71, 409,371.44 and 160,680.38

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Solution

The fourth proportional to 296,646.71, 409,371.44 and 160,680.38 is: 221,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646.71 : 409,371.44 = 160,680.38 : x
  2. Step 2: Convert to fraction form
    296,646.71/409,371.44 = 160,680.38/x
  3. Step 3: Cross multiply
    296,646.71x = 409,371.44 × 160,680.38
  4. Step 4: Simplify right side
    296,646.71x = 65,777,955,690.09
  5. Step 5: Solve for x
    x = 65,777,955,690.09/296,646.71
  6. Step 6: Final answer
    x = 221,738.37

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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.