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Finding the Fourth Proportional to 298,971.28, 448,249.56 and 158,828.32

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Solution

The fourth proportional to 298,971.28, 448,249.56 and 158,828.32 is: 238,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971.28 : 448,249.56 = 158,828.32 : x
  2. Step 2: Convert to fraction form
    298,971.28/448,249.56 = 158,828.32/x
  3. Step 3: Cross multiply
    298,971.28x = 448,249.56 × 158,828.32
  4. Step 4: Simplify right side
    298,971.28x = 71,194,724,555.54
  5. Step 5: Solve for x
    x = 71,194,724,555.54/298,971.28
  6. Step 6: Final answer
    x = 238,132.32

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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.