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Finding the Fourth Proportional to 567,782.52, 851,640.18 and 212,766.84

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Solution

The fourth proportional to 567,782.52, 851,640.18 and 212,766.84 is: 319,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,782.52 : 851,640.18 = 212,766.84 : x
  2. Step 2: Convert to fraction form
    567,782.52/851,640.18 = 212,766.84/x
  3. Step 3: Cross multiply
    567,782.52x = 851,640.18 × 212,766.84
  4. Step 4: Simplify right side
    567,782.52x = 181,200,789,915.63
  5. Step 5: Solve for x
    x = 181,200,789,915.63/567,782.52
  6. Step 6: Final answer
    x = 319,137.67

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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.