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Finding the Fourth Proportional to 450,954.96, 676,408.80 and 151,441.68

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Solution

The fourth proportional to 450,954.96, 676,408.80 and 151,441.68 is: 227,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,954.96 : 676,408.80 = 151,441.68 : x
  2. Step 2: Convert to fraction form
    450,954.96/676,408.80 = 151,441.68/x
  3. Step 3: Cross multiply
    450,954.96x = 676,408.80 × 151,441.68
  4. Step 4: Simplify right side
    450,954.96x = 102,436,485,038.78
  5. Step 5: Solve for x
    x = 102,436,485,038.78/450,954.96
  6. Step 6: Final answer
    x = 227,154.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.