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Finding the Fourth Proportional to 279,934.40, 419,901.60 and 274,102.40

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Solution

The fourth proportional to 279,934.40, 419,901.60 and 274,102.40 is: 411,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,934.40 : 419,901.60 = 274,102.40 : x
  2. Step 2: Convert to fraction form
    279,934.40/419,901.60 = 274,102.40/x
  3. Step 3: Cross multiply
    279,934.40x = 419,901.60 × 274,102.40
  4. Step 4: Simplify right side
    279,934.40x = 115,096,036,323.84
  5. Step 5: Solve for x
    x = 115,096,036,323.84/279,934.40
  6. Step 6: Final answer
    x = 411,153.60

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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.