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Finding the Fourth Proportional to 299,205.36, 448,433.64 and 149,487.60

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Solution

The fourth proportional to 299,205.36, 448,433.64 and 149,487.60 is: 224,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,205.36 : 448,433.64 = 149,487.60 : x
  2. Step 2: Convert to fraction form
    299,205.36/448,433.64 = 149,487.60/x
  3. Step 3: Cross multiply
    299,205.36x = 448,433.64 × 149,487.60
  4. Step 4: Simplify right side
    299,205.36x = 67,035,268,602.86
  5. Step 5: Solve for x
    x = 67,035,268,602.86/299,205.36
  6. Step 6: Final answer
    x = 224,044.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.