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Finding the Fourth Proportional to 398,208.96, 597,415.41 and 132,043.77

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Solution

The fourth proportional to 398,208.96, 597,415.41 and 132,043.77 is: 198,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,208.96 : 597,415.41 = 132,043.77 : x
  2. Step 2: Convert to fraction form
    398,208.96/597,415.41 = 132,043.77/x
  3. Step 3: Cross multiply
    398,208.96x = 597,415.41 × 132,043.77
  4. Step 4: Simplify right side
    398,208.96x = 78,884,982,992.50
  5. Step 5: Solve for x
    x = 78,884,982,992.50/398,208.96
  6. Step 6: Final answer
    x = 198,099.47

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1.5x scale

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.