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Finding the Fourth Proportional to 382,022.20, 573,033.30 and 348,779.80

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Solution

The fourth proportional to 382,022.20, 573,033.30 and 348,779.80 is: 523,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.20 : 573,033.30 = 348,779.80 : x
  2. Step 2: Convert to fraction form
    382,022.20/573,033.30 = 348,779.80/x
  3. Step 3: Cross multiply
    382,022.20x = 573,033.30 × 348,779.80
  4. Step 4: Simplify right side
    382,022.20x = 199,862,439,767.34
  5. Step 5: Solve for x
    x = 199,862,439,767.34/382,022.20
  6. Step 6: Final answer
    x = 523,169.70

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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.