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Finding the Fourth Proportional to 263,322.80, 394,984.20 and 210,834.80

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Solution

The fourth proportional to 263,322.80, 394,984.20 and 210,834.80 is: 316,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,322.80 : 394,984.20 = 210,834.80 : x
  2. Step 2: Convert to fraction form
    263,322.80/394,984.20 = 210,834.80/x
  3. Step 3: Cross multiply
    263,322.80x = 394,984.20 × 210,834.80
  4. Step 4: Simplify right side
    263,322.80x = 83,276,414,810.16
  5. Step 5: Solve for x
    x = 83,276,414,810.16/263,322.80
  6. Step 6: Final answer
    x = 316,252.20

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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.