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Finding the Fourth Proportional to 299,154.40, 448,976.40 and 296,821.60

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Solution

The fourth proportional to 299,154.40, 448,976.40 and 296,821.60 is: 445,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,154.40 : 448,976.40 = 296,821.60 : x
  2. Step 2: Convert to fraction form
    299,154.40/448,976.40 = 296,821.60/x
  3. Step 3: Cross multiply
    299,154.40x = 448,976.40 × 296,821.60
  4. Step 4: Simplify right side
    299,154.40x = 133,265,893,410.24
  5. Step 5: Solve for x
    x = 133,265,893,410.24/299,154.40
  6. Step 6: Final answer
    x = 445,475.29

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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.