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Finding the Fourth Proportional to 345,876, 477,316.17 and 194,973

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Solution

The fourth proportional to 345,876, 477,316.17 and 194,973 is: 269,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,876 : 477,316.17 = 194,973 : x
  2. Step 2: Convert to fraction form
    345,876/477,316.17 = 194,973/x
  3. Step 3: Cross multiply
    345,876x = 477,316.17 × 194,973
  4. Step 4: Simplify right side
    345,876x = 93,063,765,613.41
  5. Step 5: Solve for x
    x = 93,063,765,613.41/345,876
  6. Step 6: Final answer
    x = 269,066.85

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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.