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Finding the Fourth Proportional to 298,388.25, 447,582.38 and 101,396.25

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Solution

The fourth proportional to 298,388.25, 447,582.38 and 101,396.25 is: 152,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,388.25 : 447,582.38 = 101,396.25 : x
  2. Step 2: Convert to fraction form
    298,388.25/447,582.38 = 101,396.25/x
  3. Step 3: Cross multiply
    298,388.25x = 447,582.38 × 101,396.25
  4. Step 4: Simplify right side
    298,388.25x = 45,383,174,391.09
  5. Step 5: Solve for x
    x = 45,383,174,391.09/298,388.25
  6. Step 6: Final answer
    x = 152,094.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.