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Finding the Fourth Proportional to 301,786.61, 416,309.36 and 204,995.45

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Solution

The fourth proportional to 301,786.61, 416,309.36 and 204,995.45 is: 282,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,786.61 : 416,309.36 = 204,995.45 : x
  2. Step 2: Convert to fraction form
    301,786.61/416,309.36 = 204,995.45/x
  3. Step 3: Cross multiply
    301,786.61x = 416,309.36 × 204,995.45
  4. Step 4: Simplify right side
    301,786.61x = 85,341,523,567.43
  5. Step 5: Solve for x
    x = 85,341,523,567.43/301,786.61
  6. Step 6: Final answer
    x = 282,787.64

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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.