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Finding the Fourth Proportional to 382,028.36, 573,157.02 and 154,206.68

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Solution

The fourth proportional to 382,028.36, 573,157.02 and 154,206.68 is: 231,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,028.36 : 573,157.02 = 154,206.68 : x
  2. Step 2: Convert to fraction form
    382,028.36/573,157.02 = 154,206.68/x
  3. Step 3: Cross multiply
    382,028.36x = 573,157.02 × 154,206.68
  4. Step 4: Simplify right side
    382,028.36x = 88,384,641,172.89
  5. Step 5: Solve for x
    x = 88,384,641,172.89/382,028.36
  6. Step 6: Final answer
    x = 231,356.23

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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.