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Finding the Fourth Proportional to 301,523.38, 416,296.98 and 186,924.51

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Solution

The fourth proportional to 301,523.38, 416,296.98 and 186,924.51 is: 258,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,523.38 : 416,296.98 = 186,924.51 : x
  2. Step 2: Convert to fraction form
    301,523.38/416,296.98 = 186,924.51/x
  3. Step 3: Cross multiply
    301,523.38x = 416,296.98 × 186,924.51
  4. Step 4: Simplify right side
    301,523.38x = 77,816,109,000.98
  5. Step 5: Solve for x
    x = 77,816,109,000.98/301,523.38
  6. Step 6: Final answer
    x = 258,076.54

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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.