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Finding the Fourth Proportional to 298,698.33, 448,032.90 and 111,695.25

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Solution

The fourth proportional to 298,698.33, 448,032.90 and 111,695.25 is: 167,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,698.33 : 448,032.90 = 111,695.25 : x
  2. Step 2: Convert to fraction form
    298,698.33/448,032.90 = 111,695.25/x
  3. Step 3: Cross multiply
    298,698.33x = 448,032.90 × 111,695.25
  4. Step 4: Simplify right side
    298,698.33x = 50,043,146,773.73
  5. Step 5: Solve for x
    x = 50,043,146,773.73/298,698.33
  6. Step 6: Final answer
    x = 167,537.42

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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.