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Finding the Fourth Proportional to 601,194, 829,673.80 and 332,922

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Solution

The fourth proportional to 601,194, 829,673.80 and 332,922 is: 459,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,194 : 829,673.80 = 332,922 : x
  2. Step 2: Convert to fraction form
    601,194/829,673.80 = 332,922/x
  3. Step 3: Cross multiply
    601,194x = 829,673.80 × 332,922
  4. Step 4: Simplify right side
    601,194x = 276,216,660,843.60
  5. Step 5: Solve for x
    x = 276,216,660,843.60/601,194
  6. Step 6: Final answer
    x = 459,446.80

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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.