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Finding the Fourth Proportional to 474,196.96, 654,629.68 and 366,523.84

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Solution

The fourth proportional to 474,196.96, 654,629.68 and 366,523.84 is: 505,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,196.96 : 654,629.68 = 366,523.84 : x
  2. Step 2: Convert to fraction form
    474,196.96/654,629.68 = 366,523.84/x
  3. Step 3: Cross multiply
    474,196.96x = 654,629.68 × 366,523.84
  4. Step 4: Simplify right side
    474,196.96x = 239,937,384,091.57
  5. Step 5: Solve for x
    x = 239,937,384,091.57/474,196.96
  6. Step 6: Final answer
    x = 505,986.76

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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.