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Finding the Fourth Proportional to 332,928, 459,440.64 and 182,025

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Solution

The fourth proportional to 332,928, 459,440.64 and 182,025 is: 251,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,928 : 459,440.64 = 182,025 : x
  2. Step 2: Convert to fraction form
    332,928/459,440.64 = 182,025/x
  3. Step 3: Cross multiply
    332,928x = 459,440.64 × 182,025
  4. Step 4: Simplify right side
    332,928x = 83,629,682,496
  5. Step 5: Solve for x
    x = 83,629,682,496/332,928
  6. Step 6: Final answer
    x = 251,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.