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Finding the Fourth Proportional to 342,033.10, 471,998.73 and 189,077.74

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Solution

The fourth proportional to 342,033.10, 471,998.73 and 189,077.74 is: 260,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,033.10 : 471,998.73 = 189,077.74 : x
  2. Step 2: Convert to fraction form
    342,033.10/471,998.73 = 189,077.74/x
  3. Step 3: Cross multiply
    342,033.10x = 471,998.73 × 189,077.74
  4. Step 4: Simplify right side
    342,033.10x = 89,244,451,025.88
  5. Step 5: Solve for x
    x = 89,244,451,025.88/342,033.10
  6. Step 6: Final answer
    x = 260,923.43

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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.