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Finding the Fourth Proportional to 301,758.44, 452,735.94 and 143,966.48

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Solution

The fourth proportional to 301,758.44, 452,735.94 and 143,966.48 is: 215,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,758.44 : 452,735.94 = 143,966.48 : x
  2. Step 2: Convert to fraction form
    301,758.44/452,735.94 = 143,966.48/x
  3. Step 3: Cross multiply
    301,758.44x = 452,735.94 × 143,966.48
  4. Step 4: Simplify right side
    301,758.44x = 65,178,799,651.29
  5. Step 5: Solve for x
    x = 65,178,799,651.29/301,758.44
  6. Step 6: Final answer
    x = 215,996.61

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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.