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Finding the Fourth Proportional to 346,540.43, 478,174.92 and 193,559.78

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Solution

The fourth proportional to 346,540.43, 478,174.92 and 193,559.78 is: 267,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,540.43 : 478,174.92 = 193,559.78 : x
  2. Step 2: Convert to fraction form
    346,540.43/478,174.92 = 193,559.78/x
  3. Step 3: Cross multiply
    346,540.43x = 478,174.92 × 193,559.78
  4. Step 4: Simplify right side
    346,540.43x = 92,555,432,316.72
  5. Step 5: Solve for x
    x = 92,555,432,316.72/346,540.43
  6. Step 6: Final answer
    x = 267,084.08

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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.