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Finding the Fourth Proportional to 472,354, 652,081.23 and 327,269.79

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Solution

The fourth proportional to 472,354, 652,081.23 and 327,269.79 is: 451,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,354 : 652,081.23 = 327,269.79 : x
  2. Step 2: Convert to fraction form
    472,354/652,081.23 = 327,269.79/x
  3. Step 3: Cross multiply
    472,354x = 652,081.23 × 327,269.79
  4. Step 4: Simplify right side
    472,354x = 213,406,487,205.04
  5. Step 5: Solve for x
    x = 213,406,487,205.04/472,354
  6. Step 6: Final answer
    x = 451,793.54

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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.