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Finding the Fourth Proportional to 297,524.66, 445,525.05 and 164,256.98

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Solution

The fourth proportional to 297,524.66, 445,525.05 and 164,256.98 is: 245,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,524.66 : 445,525.05 = 164,256.98 : x
  2. Step 2: Convert to fraction form
    297,524.66/445,525.05 = 164,256.98/x
  3. Step 3: Cross multiply
    297,524.66x = 445,525.05 × 164,256.98
  4. Step 4: Simplify right side
    297,524.66x = 73,180,599,227.35
  5. Step 5: Solve for x
    x = 73,180,599,227.35/297,524.66
  6. Step 6: Final answer
    x = 245,964.82

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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.