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Finding the Fourth Proportional to 601,198, 829,679.32 and 332,926

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Solution

The fourth proportional to 601,198, 829,679.32 and 332,926 is: 459,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,198 : 829,679.32 = 332,926 : x
  2. Step 2: Convert to fraction form
    601,198/829,679.32 = 332,926/x
  3. Step 3: Cross multiply
    601,198x = 829,679.32 × 332,926
  4. Step 4: Simplify right side
    601,198x = 276,221,817,290.32
  5. Step 5: Solve for x
    x = 276,221,817,290.32/601,198
  6. Step 6: Final answer
    x = 459,452.32

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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.