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Finding the Fourth Proportional to 299,137.12, 448,608.56 and 99,403.84

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Solution

The fourth proportional to 299,137.12, 448,608.56 and 99,403.84 is: 149,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137.12 : 448,608.56 = 99,403.84 : x
  2. Step 2: Convert to fraction form
    299,137.12/448,608.56 = 99,403.84/x
  3. Step 3: Cross multiply
    299,137.12x = 448,608.56 × 99,403.84
  4. Step 4: Simplify right side
    299,137.12x = 44,593,413,520.87
  5. Step 5: Solve for x
    x = 44,593,413,520.87/299,137.12
  6. Step 6: Final answer
    x = 149,073.49

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1.5x scale

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.