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Finding the Fourth Proportional to 471,714.25, 650,879.19 and 278,182.68

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Solution

The fourth proportional to 471,714.25, 650,879.19 and 278,182.68 is: 383,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,714.25 : 650,879.19 = 278,182.68 : x
  2. Step 2: Convert to fraction form
    471,714.25/650,879.19 = 278,182.68/x
  3. Step 3: Cross multiply
    471,714.25x = 650,879.19 × 278,182.68
  4. Step 4: Simplify right side
    471,714.25x = 181,063,317,430.43
  5. Step 5: Solve for x
    x = 181,063,317,430.43/471,714.25
  6. Step 6: Final answer
    x = 383,841.10

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Why These Related Problems?

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