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Finding the Fourth Proportional to 347,263.70, 520,076.35 and 214,553.30

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Solution

The fourth proportional to 347,263.70, 520,076.35 and 214,553.30 is: 321,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,263.70 : 520,076.35 = 214,553.30 : x
  2. Step 2: Convert to fraction form
    347,263.70/520,076.35 = 214,553.30/x
  3. Step 3: Cross multiply
    347,263.70x = 520,076.35 × 214,553.30
  4. Step 4: Simplify right side
    347,263.70x = 111,584,097,144.46
  5. Step 5: Solve for x
    x = 111,584,097,144.46/347,263.70
  6. Step 6: Final answer
    x = 321,323.82

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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.