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Finding the Fourth Proportional to 319,202.65, 440,494.89 and 175,959.61

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Solution

The fourth proportional to 319,202.65, 440,494.89 and 175,959.61 is: 242,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,202.65 : 440,494.89 = 175,959.61 : x
  2. Step 2: Convert to fraction form
    319,202.65/440,494.89 = 175,959.61/x
  3. Step 3: Cross multiply
    319,202.65x = 440,494.89 × 175,959.61
  4. Step 4: Simplify right side
    319,202.65x = 77,509,309,051.39
  5. Step 5: Solve for x
    x = 77,509,309,051.39/319,202.65
  6. Step 6: Final answer
    x = 242,821.63

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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.