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Finding the Fourth Proportional to 398,161.92, 597,022.56 and 158,032.56

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Solution

The fourth proportional to 398,161.92, 597,022.56 and 158,032.56 is: 236,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,161.92 : 597,022.56 = 158,032.56 : x
  2. Step 2: Convert to fraction form
    398,161.92/597,022.56 = 158,032.56/x
  3. Step 3: Cross multiply
    398,161.92x = 597,022.56 × 158,032.56
  4. Step 4: Simplify right side
    398,161.92x = 94,349,003,534.55
  5. Step 5: Solve for x
    x = 94,349,003,534.55/398,161.92
  6. Step 6: Final answer
    x = 236,961.39

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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.