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Finding the Fourth Proportional to 320,102.36, 441,718.50 and 176,860.84

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Solution

The fourth proportional to 320,102.36, 441,718.50 and 176,860.84 is: 244,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,102.36 : 441,718.50 = 176,860.84 : x
  2. Step 2: Convert to fraction form
    320,102.36/441,718.50 = 176,860.84/x
  3. Step 3: Cross multiply
    320,102.36x = 441,718.50 × 176,860.84
  4. Step 4: Simplify right side
    320,102.36x = 78,122,704,953.54
  5. Step 5: Solve for x
    x = 78,122,704,953.54/320,102.36
  6. Step 6: Final answer
    x = 244,055.39

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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.