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Finding the Fourth Proportional to 281,676.33, 422,230.19 and 176,569.11

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Solution

The fourth proportional to 281,676.33, 422,230.19 and 176,569.11 is: 264,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,676.33 : 422,230.19 = 176,569.11 : x
  2. Step 2: Convert to fraction form
    281,676.33/422,230.19 = 176,569.11/x
  3. Step 3: Cross multiply
    281,676.33x = 422,230.19 × 176,569.11
  4. Step 4: Simplify right side
    281,676.33x = 74,552,807,980.59
  5. Step 5: Solve for x
    x = 74,552,807,980.59/281,676.33
  6. Step 6: Final answer
    x = 264,675.44

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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.