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Finding the Fourth Proportional to 296,721.84, 409,474.44 and 160,758.48

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Solution

The fourth proportional to 296,721.84, 409,474.44 and 160,758.48 is: 221,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,721.84 : 409,474.44 = 160,758.48 : x
  2. Step 2: Convert to fraction form
    296,721.84/409,474.44 = 160,758.48/x
  3. Step 3: Cross multiply
    296,721.84x = 409,474.44 × 160,758.48
  4. Step 4: Simplify right side
    296,721.84x = 65,826,488,573.25
  5. Step 5: Solve for x
    x = 65,826,488,573.25/296,721.84
  6. Step 6: Final answer
    x = 221,845.78

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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.