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Finding the Fourth Proportional to 283,861.14, 391,710.47 and 162,917.29

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Solution

The fourth proportional to 283,861.14, 391,710.47 and 162,917.29 is: 224,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,861.14 : 391,710.47 = 162,917.29 : x
  2. Step 2: Convert to fraction form
    283,861.14/391,710.47 = 162,917.29/x
  3. Step 3: Cross multiply
    283,861.14x = 391,710.47 × 162,917.29
  4. Step 4: Simplify right side
    283,861.14x = 63,816,408,237.03
  5. Step 5: Solve for x
    x = 63,816,408,237.03/283,861.14
  6. Step 6: Final answer
    x = 224,815.58

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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.