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Finding the Fourth Proportional to 323,208.38, 484,775.49 and 123,524.33

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Solution

The fourth proportional to 323,208.38, 484,775.49 and 123,524.33 is: 185,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,208.38 : 484,775.49 = 123,524.33 : x
  2. Step 2: Convert to fraction form
    323,208.38/484,775.49 = 123,524.33/x
  3. Step 3: Cross multiply
    323,208.38x = 484,775.49 × 123,524.33
  4. Step 4: Simplify right side
    323,208.38x = 59,881,567,602.67
  5. Step 5: Solve for x
    x = 59,881,567,602.67/323,208.38
  6. Step 6: Final answer
    x = 185,272.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.