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Finding the Fourth Proportional to 398,834.42, 550,393.24 and 217,550.24

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Solution

The fourth proportional to 398,834.42, 550,393.24 and 217,550.24 is: 300,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,834.42 : 550,393.24 = 217,550.24 : x
  2. Step 2: Convert to fraction form
    398,834.42/550,393.24 = 217,550.24/x
  3. Step 3: Cross multiply
    398,834.42x = 550,393.24 × 217,550.24
  4. Step 4: Simplify right side
    398,834.42x = 119,738,181,456.38
  5. Step 5: Solve for x
    x = 119,738,181,456.38/398,834.42
  6. Step 6: Final answer
    x = 300,220.28

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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.