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Finding the Fourth Proportional to 270,264.24, 405,462.42 and 190,457.88

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Solution

The fourth proportional to 270,264.24, 405,462.42 and 190,457.88 is: 285,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,264.24 : 405,462.42 = 190,457.88 : x
  2. Step 2: Convert to fraction form
    270,264.24/405,462.42 = 190,457.88/x
  3. Step 3: Cross multiply
    270,264.24x = 405,462.42 × 190,457.88
  4. Step 4: Simplify right side
    270,264.24x = 77,223,512,932.87
  5. Step 5: Solve for x
    x = 77,223,512,932.87/270,264.24
  6. Step 6: Final answer
    x = 285,733.37

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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.