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Finding the Fourth Proportional to 599,229.90, 898,782.48 and 199,827

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Solution

The fourth proportional to 599,229.90, 898,782.48 and 199,827 is: 299,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,229.90 : 898,782.48 = 199,827 : x
  2. Step 2: Convert to fraction form
    599,229.90/898,782.48 = 199,827/x
  3. Step 3: Cross multiply
    599,229.90x = 898,782.48 × 199,827
  4. Step 4: Simplify right side
    599,229.90x = 179,601,006,630.96
  5. Step 5: Solve for x
    x = 179,601,006,630.96/599,229.90
  6. Step 6: Final answer
    x = 299,719.70

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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.