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Finding the Fourth Proportional to 578,104.56, 866,223.72 and 356,022

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Solution

The fourth proportional to 578,104.56, 866,223.72 and 356,022 is: 533,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,104.56 : 866,223.72 = 356,022 : x
  2. Step 2: Convert to fraction form
    578,104.56/866,223.72 = 356,022/x
  3. Step 3: Cross multiply
    578,104.56x = 866,223.72 × 356,022
  4. Step 4: Simplify right side
    578,104.56x = 308,394,701,241.84
  5. Step 5: Solve for x
    x = 308,394,701,241.84/578,104.56
  6. Step 6: Final answer
    x = 533,458.34

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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.