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Finding the Fourth Proportional to 329,231.40, 494,430.30 and 254,533.20

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Solution

The fourth proportional to 329,231.40, 494,430.30 and 254,533.20 is: 382,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,231.40 : 494,430.30 = 254,533.20 : x
  2. Step 2: Convert to fraction form
    329,231.40/494,430.30 = 254,533.20/x
  3. Step 3: Cross multiply
    329,231.40x = 494,430.30 × 254,533.20
  4. Step 4: Simplify right side
    329,231.40x = 125,848,926,435.96
  5. Step 5: Solve for x
    x = 125,848,926,435.96/329,231.40
  6. Step 6: Final answer
    x = 382,250.68

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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.