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Finding the Fourth Proportional to 312,974.04, 469,554.61 and 221,964.76

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Solution

The fourth proportional to 312,974.04, 469,554.61 and 221,964.76 is: 333,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,974.04 : 469,554.61 = 221,964.76 : x
  2. Step 2: Convert to fraction form
    312,974.04/469,554.61 = 221,964.76/x
  3. Step 3: Cross multiply
    312,974.04x = 469,554.61 × 221,964.76
  4. Step 4: Simplify right side
    312,974.04x = 104,224,576,315.54
  5. Step 5: Solve for x
    x = 104,224,576,315.54/312,974.04
  6. Step 6: Final answer
    x = 333,013.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.