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Finding the Fourth Proportional to 304,752.57, 420,564.42 and 182,370.78

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Solution

The fourth proportional to 304,752.57, 420,564.42 and 182,370.78 is: 251,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,752.57 : 420,564.42 = 182,370.78 : x
  2. Step 2: Convert to fraction form
    304,752.57/420,564.42 = 182,370.78/x
  3. Step 3: Cross multiply
    304,752.57x = 420,564.42 × 182,370.78
  4. Step 4: Simplify right side
    304,752.57x = 76,698,661,315.65
  5. Step 5: Solve for x
    x = 76,698,661,315.65/304,752.57
  6. Step 6: Final answer
    x = 251,675.19

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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.