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Finding the Fourth Proportional to 538,065.09, 806,544.05 and 238,686.66

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Solution

The fourth proportional to 538,065.09, 806,544.05 and 238,686.66 is: 357,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,065.09 : 806,544.05 = 238,686.66 : x
  2. Step 2: Convert to fraction form
    538,065.09/806,544.05 = 238,686.66/x
  3. Step 3: Cross multiply
    538,065.09x = 806,544.05 × 238,686.66
  4. Step 4: Simplify right side
    538,065.09x = 192,511,304,243.94
  5. Step 5: Solve for x
    x = 192,511,304,243.94/538,065.09
  6. Step 6: Final answer
    x = 357,784.42

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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.