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Finding the Fourth Proportional to 297,297.64, 446,014.55 and 128,846.22

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Solution

The fourth proportional to 297,297.64, 446,014.55 and 128,846.22 is: 193,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,297.64 : 446,014.55 = 128,846.22 : x
  2. Step 2: Convert to fraction form
    297,297.64/446,014.55 = 128,846.22/x
  3. Step 3: Cross multiply
    297,297.64x = 446,014.55 × 128,846.22
  4. Step 4: Simplify right side
    297,297.64x = 57,467,288,832.50
  5. Step 5: Solve for x
    x = 57,467,288,832.50/297,297.64
  6. Step 6: Final answer
    x = 193,298.84

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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.