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Finding the Fourth Proportional to 345,926.38, 477,196.74 and 281,467.66

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Solution

The fourth proportional to 345,926.38, 477,196.74 and 281,467.66 is: 388,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,926.38 : 477,196.74 = 281,467.66 : x
  2. Step 2: Convert to fraction form
    345,926.38/477,196.74 = 281,467.66/x
  3. Step 3: Cross multiply
    345,926.38x = 477,196.74 × 281,467.66
  4. Step 4: Simplify right side
    345,926.38x = 134,315,449,767.43
  5. Step 5: Solve for x
    x = 134,315,449,767.43/345,926.38
  6. Step 6: Final answer
    x = 388,277.56

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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.