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Finding the Fourth Proportional to 472,355, 652,082.61 and 327,270.79

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Solution

The fourth proportional to 472,355, 652,082.61 and 327,270.79 is: 451,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,355 : 652,082.61 = 327,270.79 : x
  2. Step 2: Convert to fraction form
    472,355/652,082.61 = 327,270.79/x
  3. Step 3: Cross multiply
    472,355x = 652,082.61 × 327,270.79
  4. Step 4: Simplify right side
    472,355x = 213,407,590,919.96
  5. Step 5: Solve for x
    x = 213,407,590,919.96/472,355
  6. Step 6: Final answer
    x = 451,794.92

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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.