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Finding the Fourth Proportional to 412,832.60, 619,248.90 and 163,514.60

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Solution

The fourth proportional to 412,832.60, 619,248.90 and 163,514.60 is: 245,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,832.60 : 619,248.90 = 163,514.60 : x
  2. Step 2: Convert to fraction form
    412,832.60/619,248.90 = 163,514.60/x
  3. Step 3: Cross multiply
    412,832.60x = 619,248.90 × 163,514.60
  4. Step 4: Simplify right side
    412,832.60x = 101,256,236,183.94
  5. Step 5: Solve for x
    x = 101,256,236,183.94/412,832.60
  6. Step 6: Final answer
    x = 245,271.90

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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.