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Finding the Fourth Proportional to 304,047.27, 419,584.98 and 183,193.65

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Solution

The fourth proportional to 304,047.27, 419,584.98 and 183,193.65 is: 252,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,047.27 : 419,584.98 = 183,193.65 : x
  2. Step 2: Convert to fraction form
    304,047.27/419,584.98 = 183,193.65/x
  3. Step 3: Cross multiply
    304,047.27x = 419,584.98 × 183,193.65
  4. Step 4: Simplify right side
    304,047.27x = 76,865,303,971.38
  5. Step 5: Solve for x
    x = 76,865,303,971.38/304,047.27
  6. Step 6: Final answer
    x = 252,807.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.