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Finding the Fourth Proportional to 319,178.25, 440,469 and 175,943.43

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Solution

The fourth proportional to 319,178.25, 440,469 and 175,943.43 is: 242,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,178.25 : 440,469 = 175,943.43 : x
  2. Step 2: Convert to fraction form
    319,178.25/440,469 = 175,943.43/x
  3. Step 3: Cross multiply
    319,178.25x = 440,469 × 175,943.43
  4. Step 4: Simplify right side
    319,178.25x = 77,497,626,668.67
  5. Step 5: Solve for x
    x = 77,497,626,668.67/319,178.25
  6. Step 6: Final answer
    x = 242,803.60

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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.