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Finding the Fourth Proportional to 382,757.84, 574,195.08 and 195,706.16

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Solution

The fourth proportional to 382,757.84, 574,195.08 and 195,706.16 is: 293,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,757.84 : 574,195.08 = 195,706.16 : x
  2. Step 2: Convert to fraction form
    382,757.84/574,195.08 = 195,706.16/x
  3. Step 3: Cross multiply
    382,757.84x = 574,195.08 × 195,706.16
  4. Step 4: Simplify right side
    382,757.84x = 112,373,514,197.69
  5. Step 5: Solve for x
    x = 112,373,514,197.69/382,757.84
  6. Step 6: Final answer
    x = 293,589.06

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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.