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Finding the Fourth Proportional to 812,714.04, 1,219,819.50 and 413,640

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Solution

The fourth proportional to 812,714.04, 1,219,819.50 and 413,640 is: 620,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,714.04 : 1,219,819.50 = 413,640 : x
  2. Step 2: Convert to fraction form
    812,714.04/1,219,819.50 = 413,640/x
  3. Step 3: Cross multiply
    812,714.04x = 1,219,819.50 × 413,640
  4. Step 4: Simplify right side
    812,714.04x = 504,566,137,980
  5. Step 5: Solve for x
    x = 504,566,137,980/812,714.04
  6. Step 6: Final answer
    x = 620,840.93

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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.