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Finding the Fourth Proportional to 599,100.32, 898,658.42 and 199,741.22

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Solution

The fourth proportional to 599,100.32, 898,658.42 and 199,741.22 is: 299,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,100.32 : 898,658.42 = 199,741.22 : x
  2. Step 2: Convert to fraction form
    599,100.32/898,658.42 = 199,741.22/x
  3. Step 3: Cross multiply
    599,100.32x = 898,658.42 × 199,741.22
  4. Step 4: Simplify right side
    599,100.32x = 179,499,125,180.13
  5. Step 5: Solve for x
    x = 179,499,125,180.13/599,100.32
  6. Step 6: Final answer
    x = 299,614.47

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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.