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Finding the Fourth Proportional to 324,437.16, 447,714.18 and 181,193

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Solution

The fourth proportional to 324,437.16, 447,714.18 and 181,193 is: 250,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,437.16 : 447,714.18 = 181,193 : x
  2. Step 2: Convert to fraction form
    324,437.16/447,714.18 = 181,193/x
  3. Step 3: Cross multiply
    324,437.16x = 447,714.18 × 181,193
  4. Step 4: Simplify right side
    324,437.16x = 81,122,675,416.74
  5. Step 5: Solve for x
    x = 81,122,675,416.74/324,437.16
  6. Step 6: Final answer
    x = 250,041.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.