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Finding the Fourth Proportional to 299,057.40, 448,830.90 and 296,724.60

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Solution

The fourth proportional to 299,057.40, 448,830.90 and 296,724.60 is: 445,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,057.40 : 448,830.90 = 296,724.60 : x
  2. Step 2: Convert to fraction form
    299,057.40/448,830.90 = 296,724.60/x
  3. Step 3: Cross multiply
    299,057.40x = 448,830.90 × 296,724.60
  4. Step 4: Simplify right side
    299,057.40x = 133,179,169,270.14
  5. Step 5: Solve for x
    x = 133,179,169,270.14/299,057.40
  6. Step 6: Final answer
    x = 445,329.79

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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.