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Finding the Fourth Proportional to 342,214.38, 472,256.94 and 191,311.38

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Solution

The fourth proportional to 342,214.38, 472,256.94 and 191,311.38 is: 264,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,214.38 : 472,256.94 = 191,311.38 : x
  2. Step 2: Convert to fraction form
    342,214.38/472,256.94 = 191,311.38/x
  3. Step 3: Cross multiply
    342,214.38x = 472,256.94 × 191,311.38
  4. Step 4: Simplify right side
    342,214.38x = 90,348,126,905.98
  5. Step 5: Solve for x
    x = 90,348,126,905.98/342,214.38
  6. Step 6: Final answer
    x = 264,010.32

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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.