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Finding the Fourth Proportional to 382,022.70, 573,034.05 and 346,593.30

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Solution

The fourth proportional to 382,022.70, 573,034.05 and 346,593.30 is: 519,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.70 : 573,034.05 = 346,593.30 : x
  2. Step 2: Convert to fraction form
    382,022.70/573,034.05 = 346,593.30/x
  3. Step 3: Cross multiply
    382,022.70x = 573,034.05 × 346,593.30
  4. Step 4: Simplify right side
    382,022.70x = 198,609,762,401.87
  5. Step 5: Solve for x
    x = 198,609,762,401.87/382,022.70
  6. Step 6: Final answer
    x = 519,889.95

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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.