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Finding the Fourth Proportional to 308,782.19, 463,305.76 and 119,375.59

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Solution

The fourth proportional to 308,782.19, 463,305.76 and 119,375.59 is: 179,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,782.19 : 463,305.76 = 119,375.59 : x
  2. Step 2: Convert to fraction form
    308,782.19/463,305.76 = 119,375.59/x
  3. Step 3: Cross multiply
    308,782.19x = 463,305.76 × 119,375.59
  4. Step 4: Simplify right side
    308,782.19x = 55,307,396,411.44
  5. Step 5: Solve for x
    x = 55,307,396,411.44/308,782.19
  6. Step 6: Final answer
    x = 179,114.59

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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.