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Finding the Fourth Proportional to 342,014.44, 471,978.48 and 191,111.44

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Solution

The fourth proportional to 342,014.44, 471,978.48 and 191,111.44 is: 263,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,014.44 : 471,978.48 = 191,111.44 : x
  2. Step 2: Convert to fraction form
    342,014.44/471,978.48 = 191,111.44/x
  3. Step 3: Cross multiply
    342,014.44x = 471,978.48 × 191,111.44
  4. Step 4: Simplify right side
    342,014.44x = 90,200,486,961.81
  5. Step 5: Solve for x
    x = 90,200,486,961.81/342,014.44
  6. Step 6: Final answer
    x = 263,732.98

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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.