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Finding the Fourth Proportional to 298,258.26, 411,603.28 and 169,205.38

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Solution

The fourth proportional to 298,258.26, 411,603.28 and 169,205.38 is: 233,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,258.26 : 411,603.28 = 169,205.38 : x
  2. Step 2: Convert to fraction form
    298,258.26/411,603.28 = 169,205.38/x
  3. Step 3: Cross multiply
    298,258.26x = 411,603.28 × 169,205.38
  4. Step 4: Simplify right side
    298,258.26x = 69,645,489,401.65
  5. Step 5: Solve for x
    x = 69,645,489,401.65/298,258.26
  6. Step 6: Final answer
    x = 233,507.33

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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.