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Finding the Fourth Proportional to 297,524.16, 445,524.30 and 164,256.48

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Solution

The fourth proportional to 297,524.16, 445,524.30 and 164,256.48 is: 245,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,524.16 : 445,524.30 = 164,256.48 : x
  2. Step 2: Convert to fraction form
    297,524.16/445,524.30 = 164,256.48/x
  3. Step 3: Cross multiply
    297,524.16x = 445,524.30 × 164,256.48
  4. Step 4: Simplify right side
    297,524.16x = 73,180,253,272.46
  5. Step 5: Solve for x
    x = 73,180,253,272.46/297,524.16
  6. Step 6: Final answer
    x = 245,964.07

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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.