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Finding the Fourth Proportional to 511,371.25, 767,167.61 and 195,828.18

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Solution

The fourth proportional to 511,371.25, 767,167.61 and 195,828.18 is: 293,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,371.25 : 767,167.61 = 195,828.18 : x
  2. Step 2: Convert to fraction form
    511,371.25/767,167.61 = 195,828.18/x
  3. Step 3: Cross multiply
    511,371.25x = 767,167.61 × 195,828.18
  4. Step 4: Simplify right side
    511,371.25x = 150,233,036,821.25
  5. Step 5: Solve for x
    x = 150,233,036,821.25/511,371.25
  6. Step 6: Final answer
    x = 293,784.68

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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.