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Finding the Fourth Proportional to 283,636.21, 391,410.76 and 154,578

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Solution

The fourth proportional to 283,636.21, 391,410.76 and 154,578 is: 213,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,636.21 : 391,410.76 = 154,578 : x
  2. Step 2: Convert to fraction form
    283,636.21/391,410.76 = 154,578/x
  3. Step 3: Cross multiply
    283,636.21x = 391,410.76 × 154,578
  4. Step 4: Simplify right side
    283,636.21x = 60,503,492,459.28
  5. Step 5: Solve for x
    x = 60,503,492,459.28/283,636.21
  6. Step 6: Final answer
    x = 213,313.71

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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.