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Finding the Fourth Proportional to 398,601.41, 597,846.02 and 114,316.31

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Solution

The fourth proportional to 398,601.41, 597,846.02 and 114,316.31 is: 171,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,601.41 : 597,846.02 = 114,316.31 : x
  2. Step 2: Convert to fraction form
    398,601.41/597,846.02 = 114,316.31/x
  3. Step 3: Cross multiply
    398,601.41x = 597,846.02 × 114,316.31
  4. Step 4: Simplify right side
    398,601.41x = 68,343,551,877.62
  5. Step 5: Solve for x
    x = 68,343,551,877.62/398,601.41
  6. Step 6: Final answer
    x = 171,458.38

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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.