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Finding the Fourth Proportional to 472,356, 652,083.99 and 327,271.79

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Solution

The fourth proportional to 472,356, 652,083.99 and 327,271.79 is: 451,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356 : 652,083.99 = 327,271.79 : x
  2. Step 2: Convert to fraction form
    472,356/652,083.99 = 327,271.79/x
  3. Step 3: Cross multiply
    472,356x = 652,083.99 × 327,271.79
  4. Step 4: Simplify right side
    472,356x = 213,408,694,637.64
  5. Step 5: Solve for x
    x = 213,408,694,637.64/472,356
  6. Step 6: Final answer
    x = 451,796.30

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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.