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Finding the Fourth Proportional to 342,013.44, 471,977.10 and 191,110.44

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Solution

The fourth proportional to 342,013.44, 471,977.10 and 191,110.44 is: 263,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,013.44 : 471,977.10 = 191,110.44 : x
  2. Step 2: Convert to fraction form
    342,013.44/471,977.10 = 191,110.44/x
  3. Step 3: Cross multiply
    342,013.44x = 471,977.10 × 191,110.44
  4. Step 4: Simplify right side
    342,013.44x = 90,199,751,250.92
  5. Step 5: Solve for x
    x = 90,199,751,250.92/342,013.44
  6. Step 6: Final answer
    x = 263,731.60

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1.5x scale

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.