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Finding the Fourth Proportional to 476,017.84, 713,676.83 and 226,874.80

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Solution

The fourth proportional to 476,017.84, 713,676.83 and 226,874.80 is: 340,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,017.84 : 713,676.83 = 226,874.80 : x
  2. Step 2: Convert to fraction form
    476,017.84/713,676.83 = 226,874.80/x
  3. Step 3: Cross multiply
    476,017.84x = 713,676.83 × 226,874.80
  4. Step 4: Simplify right side
    476,017.84x = 161,915,284,502.50
  5. Step 5: Solve for x
    x = 161,915,284,502.50/476,017.84
  6. Step 6: Final answer
    x = 340,145.42

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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.