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Finding the Fourth Proportional to 295,903.82, 444,085.90 and 206,577.26

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Solution

The fourth proportional to 295,903.82, 444,085.90 and 206,577.26 is: 310,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,903.82 : 444,085.90 = 206,577.26 : x
  2. Step 2: Convert to fraction form
    295,903.82/444,085.90 = 206,577.26/x
  3. Step 3: Cross multiply
    295,903.82x = 444,085.90 × 206,577.26
  4. Step 4: Simplify right side
    295,903.82x = 91,738,048,426.63
  5. Step 5: Solve for x
    x = 91,738,048,426.63/295,903.82
  6. Step 6: Final answer
    x = 310,026.58

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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.