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Finding the Fourth Proportional to 472,353, 652,079.85 and 327,268.79

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Solution

The fourth proportional to 472,353, 652,079.85 and 327,268.79 is: 451,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,353 : 652,079.85 = 327,268.79 : x
  2. Step 2: Convert to fraction form
    472,353/652,079.85 = 327,268.79/x
  3. Step 3: Cross multiply
    472,353x = 652,079.85 × 327,268.79
  4. Step 4: Simplify right side
    472,353x = 213,405,380,232.48
  5. Step 5: Solve for x
    x = 213,405,380,232.48/472,353
  6. Step 6: Final answer
    x = 451,792.16

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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.