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Finding the Fourth Proportional to 382,022.80, 573,646.20 and 303,787.60

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Solution

The fourth proportional to 382,022.80, 573,646.20 and 303,787.60 is: 456,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.80 : 573,646.20 = 303,787.60 : x
  2. Step 2: Convert to fraction form
    382,022.80/573,646.20 = 303,787.60/x
  3. Step 3: Cross multiply
    382,022.80x = 573,646.20 × 303,787.60
  4. Step 4: Simplify right side
    382,022.80x = 174,266,602,347.12
  5. Step 5: Solve for x
    x = 174,266,602,347.12/382,022.80
  6. Step 6: Final answer
    x = 456,168.07

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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.