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Finding the Fourth Proportional to 255,714.82, 353,037.64 and 227,341.97

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Solution

The fourth proportional to 255,714.82, 353,037.64 and 227,341.97 is: 313,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.82 : 353,037.64 = 227,341.97 : x
  2. Step 2: Convert to fraction form
    255,714.82/353,037.64 = 227,341.97/x
  3. Step 3: Cross multiply
    255,714.82x = 353,037.64 × 227,341.97
  4. Step 4: Simplify right side
    255,714.82x = 80,260,272,404.63
  5. Step 5: Solve for x
    x = 80,260,272,404.63/255,714.82
  6. Step 6: Final answer
    x = 313,866.33

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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.