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Finding the Fourth Proportional to 304,930.33, 457,814.49 and 155,271.22

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Solution

The fourth proportional to 304,930.33, 457,814.49 and 155,271.22 is: 233,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,930.33 : 457,814.49 = 155,271.22 : x
  2. Step 2: Convert to fraction form
    304,930.33/457,814.49 = 155,271.22/x
  3. Step 3: Cross multiply
    304,930.33x = 457,814.49 × 155,271.22
  4. Step 4: Simplify right side
    304,930.33x = 71,085,414,395.98
  5. Step 5: Solve for x
    x = 71,085,414,395.98/304,930.33
  6. Step 6: Final answer
    x = 233,120.18

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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.