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Finding the Fourth Proportional to 398,361.34, 597,540.39 and 161,702.02

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Solution

The fourth proportional to 398,361.34, 597,540.39 and 161,702.02 is: 242,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,361.34 : 597,540.39 = 161,702.02 : x
  2. Step 2: Convert to fraction form
    398,361.34/597,540.39 = 161,702.02/x
  3. Step 3: Cross multiply
    398,361.34x = 597,540.39 × 161,702.02
  4. Step 4: Simplify right side
    398,361.34x = 96,623,488,094.59
  5. Step 5: Solve for x
    x = 96,623,488,094.59/398,361.34
  6. Step 6: Final answer
    x = 242,552.37

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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.