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Finding the Fourth Proportional to 463,274.64, 693,735.84 and 388,197.36

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Solution

The fourth proportional to 463,274.64, 693,735.84 and 388,197.36 is: 581,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,274.64 : 693,735.84 = 388,197.36 : x
  2. Step 2: Convert to fraction form
    463,274.64/693,735.84 = 388,197.36/x
  3. Step 3: Cross multiply
    463,274.64x = 693,735.84 × 388,197.36
  4. Step 4: Simplify right side
    463,274.64x = 269,306,421,625.38
  5. Step 5: Solve for x
    x = 269,306,421,625.38/463,274.64
  6. Step 6: Final answer
    x = 581,310.52

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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.