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Finding the Fourth Proportional to 382,757.91, 574,219.83 and 116,511.46

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Solution

The fourth proportional to 382,757.91, 574,219.83 and 116,511.46 is: 174,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,757.91 : 574,219.83 = 116,511.46 : x
  2. Step 2: Convert to fraction form
    382,757.91/574,219.83 = 116,511.46/x
  3. Step 3: Cross multiply
    382,757.91x = 574,219.83 × 116,511.46
  4. Step 4: Simplify right side
    382,757.91x = 66,903,192,985.61
  5. Step 5: Solve for x
    x = 66,903,192,985.61/382,757.91
  6. Step 6: Final answer
    x = 174,792.45

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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.