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Finding the Fourth Proportional to 511,348.69, 767,133.75 and 195,805.60

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Solution

The fourth proportional to 511,348.69, 767,133.75 and 195,805.60 is: 293,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,348.69 : 767,133.75 = 195,805.60 : x
  2. Step 2: Convert to fraction form
    511,348.69/767,133.75 = 195,805.60/x
  3. Step 3: Cross multiply
    511,348.69x = 767,133.75 × 195,805.60
  4. Step 4: Simplify right side
    511,348.69x = 150,209,080,363.33
  5. Step 5: Solve for x
    x = 150,209,080,363.33/511,348.69
  6. Step 6: Final answer
    x = 293,750.79

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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.