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Finding the Fourth Proportional to 281,675.58, 422,229.06 and 176,568.36

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Solution

The fourth proportional to 281,675.58, 422,229.06 and 176,568.36 is: 264,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,675.58 : 422,229.06 = 176,568.36 : x
  2. Step 2: Convert to fraction form
    281,675.58/422,229.06 = 176,568.36/x
  3. Step 3: Cross multiply
    281,675.58x = 422,229.06 × 176,568.36
  4. Step 4: Simplify right side
    281,675.58x = 74,552,292,668.54
  5. Step 5: Solve for x
    x = 74,552,292,668.54/281,675.58
  6. Step 6: Final answer
    x = 264,674.32

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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.