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Finding the Fourth Proportional to 295,975.44, 408,124.80 and 188,407.80

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Solution

The fourth proportional to 295,975.44, 408,124.80 and 188,407.80 is: 259,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,975.44 : 408,124.80 = 188,407.80 : x
  2. Step 2: Convert to fraction form
    295,975.44/408,124.80 = 188,407.80/x
  3. Step 3: Cross multiply
    295,975.44x = 408,124.80 × 188,407.80
  4. Step 4: Simplify right side
    295,975.44x = 76,893,895,693.44
  5. Step 5: Solve for x
    x = 76,893,895,693.44/295,975.44
  6. Step 6: Final answer
    x = 259,798.23

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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.