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Finding the Fourth Proportional to 382,840.50, 574,265.61 and 133,522.50

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Solution

The fourth proportional to 382,840.50, 574,265.61 and 133,522.50 is: 200,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,840.50 : 574,265.61 = 133,522.50 : x
  2. Step 2: Convert to fraction form
    382,840.50/574,265.61 = 133,522.50/x
  3. Step 3: Cross multiply
    382,840.50x = 574,265.61 × 133,522.50
  4. Step 4: Simplify right side
    382,840.50x = 76,677,379,911.23
  5. Step 5: Solve for x
    x = 76,677,379,911.23/382,840.50
  6. Step 6: Final answer
    x = 200,285.45

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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.