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Finding the Fourth Proportional to 333,846.56, 501,270.11 and 289,006.22

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Solution

The fourth proportional to 333,846.56, 501,270.11 and 289,006.22 is: 433,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,846.56 : 501,270.11 = 289,006.22 : x
  2. Step 2: Convert to fraction form
    333,846.56/501,270.11 = 289,006.22/x
  3. Step 3: Cross multiply
    333,846.56x = 501,270.11 × 289,006.22
  4. Step 4: Simplify right side
    333,846.56x = 144,870,181,665.78
  5. Step 5: Solve for x
    x = 144,870,181,665.78/333,846.56
  6. Step 6: Final answer
    x = 433,942.42

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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.