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Finding the Fourth Proportional to 324,714.40, 448,105.12 and 188,828

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Solution

The fourth proportional to 324,714.40, 448,105.12 and 188,828 is: 260,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,714.40 : 448,105.12 = 188,828 : x
  2. Step 2: Convert to fraction form
    324,714.40/448,105.12 = 188,828/x
  3. Step 3: Cross multiply
    324,714.40x = 448,105.12 × 188,828
  4. Step 4: Simplify right side
    324,714.40x = 84,614,793,599.36
  5. Step 5: Solve for x
    x = 84,614,793,599.36/324,714.40
  6. Step 6: Final answer
    x = 260,582.20

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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.