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Finding the Fourth Proportional to 299,148.40, 448,967.40 and 296,815.60

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Solution

The fourth proportional to 299,148.40, 448,967.40 and 296,815.60 is: 445,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,148.40 : 448,967.40 = 296,815.60 : x
  2. Step 2: Convert to fraction form
    299,148.40/448,967.40 = 296,815.60/x
  3. Step 3: Cross multiply
    299,148.40x = 448,967.40 × 296,815.60
  4. Step 4: Simplify right side
    299,148.40x = 133,260,528,211.44
  5. Step 5: Solve for x
    x = 133,260,528,211.44/299,148.40
  6. Step 6: Final answer
    x = 445,466.29

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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.