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Finding the Fourth Proportional to 321,034.82, 442,927.60 and 185,050.19

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Solution

The fourth proportional to 321,034.82, 442,927.60 and 185,050.19 is: 255,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,034.82 : 442,927.60 = 185,050.19 : x
  2. Step 2: Convert to fraction form
    321,034.82/442,927.60 = 185,050.19/x
  3. Step 3: Cross multiply
    321,034.82x = 442,927.60 × 185,050.19
  4. Step 4: Simplify right side
    321,034.82x = 81,963,837,180.94
  5. Step 5: Solve for x
    x = 81,963,837,180.94/321,034.82
  6. Step 6: Final answer
    x = 255,311.37

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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.