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Finding the Fourth Proportional to 319,098.17, 440,344.31 and 173,901

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Solution

The fourth proportional to 319,098.17, 440,344.31 and 173,901 is: 239,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,098.17 : 440,344.31 = 173,901 : x
  2. Step 2: Convert to fraction form
    319,098.17/440,344.31 = 173,901/x
  3. Step 3: Cross multiply
    319,098.17x = 440,344.31 × 173,901
  4. Step 4: Simplify right side
    319,098.17x = 76,576,315,853.31
  5. Step 5: Solve for x
    x = 76,576,315,853.31/319,098.17
  6. Step 6: Final answer
    x = 239,977.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.