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Finding the Fourth Proportional to 323,838.73, 446,744.93 and 210,620.17

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Solution

The fourth proportional to 323,838.73, 446,744.93 and 210,620.17 is: 290,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,838.73 : 446,744.93 = 210,620.17 : x
  2. Step 2: Convert to fraction form
    323,838.73/446,744.93 = 210,620.17/x
  3. Step 3: Cross multiply
    323,838.73x = 446,744.93 × 210,620.17
  4. Step 4: Simplify right side
    323,838.73x = 94,093,492,050.14
  5. Step 5: Solve for x
    x = 94,093,492,050.14/323,838.73
  6. Step 6: Final answer
    x = 290,556.64

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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.