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Finding the Fourth Proportional to 304,085.62, 419,704.77 and 176,834.62

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Solution

The fourth proportional to 304,085.62, 419,704.77 and 176,834.62 is: 244,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,085.62 : 419,704.77 = 176,834.62 : x
  2. Step 2: Convert to fraction form
    304,085.62/419,704.77 = 176,834.62/x
  3. Step 3: Cross multiply
    304,085.62x = 419,704.77 × 176,834.62
  4. Step 4: Simplify right side
    304,085.62x = 74,218,333,515.14
  5. Step 5: Solve for x
    x = 74,218,333,515.14/304,085.62
  6. Step 6: Final answer
    x = 244,070.51

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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.