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Finding the Fourth Proportional to 283,582.44, 391,342.14 and 154,520.82

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Solution

The fourth proportional to 283,582.44, 391,342.14 and 154,520.82 is: 213,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,582.44 : 391,342.14 = 154,520.82 : x
  2. Step 2: Convert to fraction form
    283,582.44/391,342.14 = 154,520.82/x
  3. Step 3: Cross multiply
    283,582.44x = 391,342.14 × 154,520.82
  4. Step 4: Simplify right side
    283,582.44x = 60,470,508,373.35
  5. Step 5: Solve for x
    x = 60,470,508,373.35/283,582.44
  6. Step 6: Final answer
    x = 213,237.84

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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.