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Finding the Fourth Proportional to 283,714.92, 391,495.68 and 156,366

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Solution

The fourth proportional to 283,714.92, 391,495.68 and 156,366 is: 215,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,714.92 : 391,495.68 = 156,366 : x
  2. Step 2: Convert to fraction form
    283,714.92/391,495.68 = 156,366/x
  3. Step 3: Cross multiply
    283,714.92x = 391,495.68 × 156,366
  4. Step 4: Simplify right side
    283,714.92x = 61,216,613,498.88
  5. Step 5: Solve for x
    x = 61,216,613,498.88/283,714.92
  6. Step 6: Final answer
    x = 215,768.04

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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.