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Finding the Fourth Proportional to 383,069.52, 574,204.98 and 214,342.46

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Solution

The fourth proportional to 383,069.52, 574,204.98 and 214,342.46 is: 321,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,069.52 : 574,204.98 = 214,342.46 : x
  2. Step 2: Convert to fraction form
    383,069.52/574,204.98 = 214,342.46/x
  3. Step 3: Cross multiply
    383,069.52x = 574,204.98 × 214,342.46
  4. Step 4: Simplify right side
    383,069.52x = 123,076,507,957.45
  5. Step 5: Solve for x
    x = 123,076,507,957.45/383,069.52
  6. Step 6: Final answer
    x = 321,290.27

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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.