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Finding the Fourth Proportional to 271,828.44, 407,903.04 and 103,490.46

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Solution

The fourth proportional to 271,828.44, 407,903.04 and 103,490.46 is: 155,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,828.44 : 407,903.04 = 103,490.46 : x
  2. Step 2: Convert to fraction form
    271,828.44/407,903.04 = 103,490.46/x
  3. Step 3: Cross multiply
    271,828.44x = 407,903.04 × 103,490.46
  4. Step 4: Simplify right side
    271,828.44x = 42,214,073,245.00
  5. Step 5: Solve for x
    x = 42,214,073,245.00/271,828.44
  6. Step 6: Final answer
    x = 155,296.75

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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.