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Finding the Fourth Proportional to 296,330.41, 408,932.85 and 160,361.38

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Solution

The fourth proportional to 296,330.41, 408,932.85 and 160,361.38 is: 221,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,330.41 : 408,932.85 = 160,361.38 : x
  2. Step 2: Convert to fraction form
    296,330.41/408,932.85 = 160,361.38/x
  3. Step 3: Cross multiply
    296,330.41x = 408,932.85 × 160,361.38
  4. Step 4: Simplify right side
    296,330.41x = 65,577,036,153.33
  5. Step 5: Solve for x
    x = 65,577,036,153.33/296,330.41
  6. Step 6: Final answer
    x = 221,297.02

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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.