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Finding the Fourth Proportional to 599,100.57, 898,658.80 and 199,741.47

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Solution

The fourth proportional to 599,100.57, 898,658.80 and 199,741.47 is: 299,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,100.57 : 898,658.80 = 199,741.47 : x
  2. Step 2: Convert to fraction form
    599,100.57/898,658.80 = 199,741.47/x
  3. Step 3: Cross multiply
    599,100.57x = 898,658.80 × 199,741.47
  4. Step 4: Simplify right side
    599,100.57x = 179,499,429,740.44
  5. Step 5: Solve for x
    x = 179,499,429,740.44/599,100.57
  6. Step 6: Final answer
    x = 299,614.85

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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.