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Finding the Fourth Proportional to 417,714.64, 576,309 and 236,408.56

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Solution

The fourth proportional to 417,714.64, 576,309 and 236,408.56 is: 326,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,714.64 : 576,309 = 236,408.56 : x
  2. Step 2: Convert to fraction form
    417,714.64/576,309 = 236,408.56/x
  3. Step 3: Cross multiply
    417,714.64x = 576,309 × 236,408.56
  4. Step 4: Simplify right side
    417,714.64x = 136,244,380,805.04
  5. Step 5: Solve for x
    x = 136,244,380,805.04/417,714.64
  6. Step 6: Final answer
    x = 326,166.16

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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.