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Finding the Fourth Proportional to 416,182.20, 623,351.70 and 342,454.20

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Solution

The fourth proportional to 416,182.20, 623,351.70 and 342,454.20 is: 512,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,182.20 : 623,351.70 = 342,454.20 : x
  2. Step 2: Convert to fraction form
    416,182.20/623,351.70 = 342,454.20/x
  3. Step 3: Cross multiply
    416,182.20x = 623,351.70 × 342,454.20
  4. Step 4: Simplify right side
    416,182.20x = 213,469,407,742.14
  5. Step 5: Solve for x
    x = 213,469,407,742.14/416,182.20
  6. Step 6: Final answer
    x = 512,922.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.