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Finding the Fourth Proportional to 599,102.85, 898,662.23 and 199,743.75

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Solution

The fourth proportional to 599,102.85, 898,662.23 and 199,743.75 is: 299,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,102.85 : 898,662.23 = 199,743.75 : x
  2. Step 2: Convert to fraction form
    599,102.85/898,662.23 = 199,743.75/x
  3. Step 3: Cross multiply
    599,102.85x = 898,662.23 × 199,743.75
  4. Step 4: Simplify right side
    599,102.85x = 179,502,162,804.84
  5. Step 5: Solve for x
    x = 179,502,162,804.84/599,102.85
  6. Step 6: Final answer
    x = 299,618.28

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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.