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Finding the Fourth Proportional to 296,512.68, 409,185.78 and 160,543.82

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Solution

The fourth proportional to 296,512.68, 409,185.78 and 160,543.82 is: 221,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,512.68 : 409,185.78 = 160,543.82 : x
  2. Step 2: Convert to fraction form
    296,512.68/409,185.78 = 160,543.82/x
  3. Step 3: Cross multiply
    296,512.68x = 409,185.78 × 160,543.82
  4. Step 4: Simplify right side
    296,512.68x = 65,692,248,631.80
  5. Step 5: Solve for x
    x = 65,692,248,631.80/296,512.68
  6. Step 6: Final answer
    x = 221,549.54

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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.