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Finding the Fourth Proportional to 412,714.88, 619,301.44 and 223,170.56

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Solution

The fourth proportional to 412,714.88, 619,301.44 and 223,170.56 is: 334,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,714.88 : 619,301.44 = 223,170.56 : x
  2. Step 2: Convert to fraction form
    412,714.88/619,301.44 = 223,170.56/x
  3. Step 3: Cross multiply
    412,714.88x = 619,301.44 × 223,170.56
  4. Step 4: Simplify right side
    412,714.88x = 138,209,849,173.61
  5. Step 5: Solve for x
    x = 138,209,849,173.61/412,714.88
  6. Step 6: Final answer
    x = 334,879.73

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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.