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Finding the Fourth Proportional to 384,100.90, 576,408.50 and 159,461.53

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Solution

The fourth proportional to 384,100.90, 576,408.50 and 159,461.53 is: 239,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.90 : 576,408.50 = 159,461.53 : x
  2. Step 2: Convert to fraction form
    384,100.90/576,408.50 = 159,461.53/x
  3. Step 3: Cross multiply
    384,100.90x = 576,408.50 × 159,461.53
  4. Step 4: Simplify right side
    384,100.90x = 91,914,980,571.63
  5. Step 5: Solve for x
    x = 91,914,980,571.63/384,100.90
  6. Step 6: Final answer
    x = 239,299.05

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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.