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Finding the Fourth Proportional to 398,066.85, 597,346.34 and 161,411.58

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Solution

The fourth proportional to 398,066.85, 597,346.34 and 161,411.58 is: 242,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,066.85 : 597,346.34 = 161,411.58 : x
  2. Step 2: Convert to fraction form
    398,066.85/597,346.34 = 161,411.58/x
  3. Step 3: Cross multiply
    398,066.85x = 597,346.34 × 161,411.58
  4. Step 4: Simplify right side
    398,066.85x = 96,418,615,739.56
  5. Step 5: Solve for x
    x = 96,418,615,739.56/398,066.85
  6. Step 6: Final answer
    x = 242,217.14

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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.