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Finding the Fourth Proportional to 319,317.96, 440,661.78 and 176,083.14

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Solution

The fourth proportional to 319,317.96, 440,661.78 and 176,083.14 is: 242,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,317.96 : 440,661.78 = 176,083.14 : x
  2. Step 2: Convert to fraction form
    319,317.96/440,661.78 = 176,083.14/x
  3. Step 3: Cross multiply
    319,317.96x = 440,661.78 × 176,083.14
  4. Step 4: Simplify right side
    319,317.96x = 77,593,109,900.39
  5. Step 5: Solve for x
    x = 77,593,109,900.39/319,317.96
  6. Step 6: Final answer
    x = 242,996.38

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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.