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Finding the Fourth Proportional to 415,013.24, 622,714.28 and 204,536.36

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Solution

The fourth proportional to 415,013.24, 622,714.28 and 204,536.36 is: 306,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,013.24 : 622,714.28 = 204,536.36 : x
  2. Step 2: Convert to fraction form
    415,013.24/622,714.28 = 204,536.36/x
  3. Step 3: Cross multiply
    415,013.24x = 622,714.28 × 204,536.36
  4. Step 4: Simplify right side
    415,013.24x = 127,367,712,151.22
  5. Step 5: Solve for x
    x = 127,367,712,151.22/415,013.24
  6. Step 6: Final answer
    x = 306,900.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.