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Finding the Fourth Proportional to 264,831.52, 397,245.68 and 115,052.32

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Solution

The fourth proportional to 264,831.52, 397,245.68 and 115,052.32 is: 172,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,831.52 : 397,245.68 = 115,052.32 : x
  2. Step 2: Convert to fraction form
    264,831.52/397,245.68 = 115,052.32/x
  3. Step 3: Cross multiply
    264,831.52x = 397,245.68 × 115,052.32
  4. Step 4: Simplify right side
    264,831.52x = 45,704,037,093.98
  5. Step 5: Solve for x
    x = 45,704,037,093.98/264,831.52
  6. Step 6: Final answer
    x = 172,577.78

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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.