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Finding the Fourth Proportional to 319,172.97, 440,478.41 and 175,932.69

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Solution

The fourth proportional to 319,172.97, 440,478.41 and 175,932.69 is: 242,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,172.97 : 440,478.41 = 175,932.69 : x
  2. Step 2: Convert to fraction form
    319,172.97/440,478.41 = 175,932.69/x
  3. Step 3: Cross multiply
    319,172.97x = 440,478.41 × 175,932.69
  4. Step 4: Simplify right side
    319,172.97x = 77,494,550,678.56
  5. Step 5: Solve for x
    x = 77,494,550,678.56/319,172.97
  6. Step 6: Final answer
    x = 242,797.97

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Why These Related Problems?

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