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Finding the Fourth Proportional to 369,096.50, 509,353.14 and 199,330.60

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Solution

The fourth proportional to 369,096.50, 509,353.14 and 199,330.60 is: 275,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,096.50 : 509,353.14 = 199,330.60 : x
  2. Step 2: Convert to fraction form
    369,096.50/509,353.14 = 199,330.60/x
  3. Step 3: Cross multiply
    369,096.50x = 509,353.14 × 199,330.60
  4. Step 4: Simplify right side
    369,096.50x = 101,529,667,008.08
  5. Step 5: Solve for x
    x = 101,529,667,008.08/369,096.50
  6. Step 6: Final answer
    x = 275,076.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.