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Finding the Fourth Proportional to 398,563.32, 597,714.96 and 132,252.33

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Solution

The fourth proportional to 398,563.32, 597,714.96 and 132,252.33 is: 198,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,563.32 : 597,714.96 = 132,252.33 : x
  2. Step 2: Convert to fraction form
    398,563.32/597,714.96 = 132,252.33/x
  3. Step 3: Cross multiply
    398,563.32x = 597,714.96 × 132,252.33
  4. Step 4: Simplify right side
    398,563.32x = 79,049,196,135.86
  5. Step 5: Solve for x
    x = 79,049,196,135.86/398,563.32
  6. Step 6: Final answer
    x = 198,335.35

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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.