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Finding the Fourth Proportional to 297,525.16, 445,525.80 and 164,257.48

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Solution

The fourth proportional to 297,525.16, 445,525.80 and 164,257.48 is: 245,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,525.16 : 445,525.80 = 164,257.48 : x
  2. Step 2: Convert to fraction form
    297,525.16/445,525.80 = 164,257.48/x
  3. Step 3: Cross multiply
    297,525.16x = 445,525.80 × 164,257.48
  4. Step 4: Simplify right side
    297,525.16x = 73,180,945,182.98
  5. Step 5: Solve for x
    x = 73,180,945,182.98/297,525.16
  6. Step 6: Final answer
    x = 245,965.57

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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.