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Finding the Fourth Proportional to 469,834.64, 704,839.40 and 213,685.64

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Solution

The fourth proportional to 469,834.64, 704,839.40 and 213,685.64 is: 320,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,834.64 : 704,839.40 = 213,685.64 : x
  2. Step 2: Convert to fraction form
    469,834.64/704,839.40 = 213,685.64/x
  3. Step 3: Cross multiply
    469,834.64x = 704,839.40 × 213,685.64
  4. Step 4: Simplify right side
    469,834.64x = 150,614,058,286.22
  5. Step 5: Solve for x
    x = 150,614,058,286.22/469,834.64
  6. Step 6: Final answer
    x = 320,568.23

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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.