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Finding the Fourth Proportional to 299,244.26, 413,199.69 and 285,714.02

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Solution

The fourth proportional to 299,244.26, 413,199.69 and 285,714.02 is: 394,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,244.26 : 413,199.69 = 285,714.02 : x
  2. Step 2: Convert to fraction form
    299,244.26/413,199.69 = 285,714.02/x
  3. Step 3: Cross multiply
    299,244.26x = 413,199.69 × 285,714.02
  4. Step 4: Simplify right side
    299,244.26x = 118,056,944,492.65
  5. Step 5: Solve for x
    x = 118,056,944,492.65/299,244.26
  6. Step 6: Final answer
    x = 394,516.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.