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Finding the Fourth Proportional to 283,355.11, 391,046.42 and 162,495.43

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Solution

The fourth proportional to 283,355.11, 391,046.42 and 162,495.43 is: 224,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,355.11 : 391,046.42 = 162,495.43 : x
  2. Step 2: Convert to fraction form
    283,355.11/391,046.42 = 162,495.43/x
  3. Step 3: Cross multiply
    283,355.11x = 391,046.42 × 162,495.43
  4. Step 4: Simplify right side
    283,355.11x = 63,543,256,167.86
  5. Step 5: Solve for x
    x = 63,543,256,167.86/283,355.11
  6. Step 6: Final answer
    x = 224,253.08

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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.