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Finding the Fourth Proportional to 382,022.70, 573,034.05 and 348,780.30

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Solution

The fourth proportional to 382,022.70, 573,034.05 and 348,780.30 is: 523,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.70 : 573,034.05 = 348,780.30 : x
  2. Step 2: Convert to fraction form
    382,022.70/573,034.05 = 348,780.30/x
  3. Step 3: Cross multiply
    382,022.70x = 573,034.05 × 348,780.30
  4. Step 4: Simplify right side
    382,022.70x = 199,862,987,869.22
  5. Step 5: Solve for x
    x = 199,862,987,869.22/382,022.70
  6. Step 6: Final answer
    x = 523,170.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.