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Finding the Fourth Proportional to 382,022.40, 573,033.60 and 315,537.60

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Solution

The fourth proportional to 382,022.40, 573,033.60 and 315,537.60 is: 473,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.40 : 573,033.60 = 315,537.60 : x
  2. Step 2: Convert to fraction form
    382,022.40/573,033.60 = 315,537.60/x
  3. Step 3: Cross multiply
    382,022.40x = 573,033.60 × 315,537.60
  4. Step 4: Simplify right side
    382,022.40x = 180,813,646,863.36
  5. Step 5: Solve for x
    x = 180,813,646,863.36/382,022.40
  6. Step 6: Final answer
    x = 473,306.40

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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.