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Finding the Fourth Proportional to 398,735.01, 598,261.82 and 162,096.21

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Solution

The fourth proportional to 398,735.01, 598,261.82 and 162,096.21 is: 243,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,735.01 : 598,261.82 = 162,096.21 : x
  2. Step 2: Convert to fraction form
    398,735.01/598,261.82 = 162,096.21/x
  3. Step 3: Cross multiply
    398,735.01x = 598,261.82 × 162,096.21
  4. Step 4: Simplify right side
    398,735.01x = 96,975,972,799.22
  5. Step 5: Solve for x
    x = 96,975,972,799.22/398,735.01
  6. Step 6: Final answer
    x = 243,209.07

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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.