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Finding the Fourth Proportional to 332,686, 459,106.12 and 189,446.08

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Solution

The fourth proportional to 332,686, 459,106.12 and 189,446.08 is: 261,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,686 : 459,106.12 = 189,446.08 : x
  2. Step 2: Convert to fraction form
    332,686/459,106.12 = 189,446.08/x
  3. Step 3: Cross multiply
    332,686x = 459,106.12 × 189,446.08
  4. Step 4: Simplify right side
    332,686x = 86,975,854,738.01
  5. Step 5: Solve for x
    x = 86,975,854,738.01/332,686
  6. Step 6: Final answer
    x = 261,435.27

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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.