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Finding the Fourth Proportional to 410,866.70, 616,226.20 and 186,185.25

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Solution

The fourth proportional to 410,866.70, 616,226.20 and 186,185.25 is: 279,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,866.70 : 616,226.20 = 186,185.25 : x
  2. Step 2: Convert to fraction form
    410,866.70/616,226.20 = 186,185.25/x
  3. Step 3: Cross multiply
    410,866.70x = 616,226.20 × 186,185.25
  4. Step 4: Simplify right side
    410,866.70x = 114,732,228,638.09
  5. Step 5: Solve for x
    x = 114,732,228,638.09/410,866.70
  6. Step 6: Final answer
    x = 279,244.41

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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.