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Finding the Fourth Proportional to 599,343.82, 898,714.77 and 199,843.18

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Solution

The fourth proportional to 599,343.82, 898,714.77 and 199,843.18 is: 299,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,343.82 : 898,714.77 = 199,843.18 : x
  2. Step 2: Convert to fraction form
    599,343.82/898,714.77 = 199,843.18/x
  3. Step 3: Cross multiply
    599,343.82x = 898,714.77 × 199,843.18
  4. Step 4: Simplify right side
    599,343.82x = 179,602,017,549.77
  5. Step 5: Solve for x
    x = 179,602,017,549.77/599,343.82
  6. Step 6: Final answer
    x = 299,664.42

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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.