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Finding the Fourth Proportional to 296,628.49, 409,344.06 and 160,659.06

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Solution

The fourth proportional to 296,628.49, 409,344.06 and 160,659.06 is: 221,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,628.49 : 409,344.06 = 160,659.06 : x
  2. Step 2: Convert to fraction form
    296,628.49/409,344.06 = 160,659.06/x
  3. Step 3: Cross multiply
    296,628.49x = 409,344.06 × 160,659.06
  4. Step 4: Simplify right side
    296,628.49x = 65,764,831,896.18
  5. Step 5: Solve for x
    x = 65,764,831,896.18/296,628.49
  6. Step 6: Final answer
    x = 221,707.74

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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.