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Finding the Fourth Proportional to 384,084.21, 576,241.62 and 181,834.50

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Solution

The fourth proportional to 384,084.21, 576,241.62 and 181,834.50 is: 272,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,084.21 : 576,241.62 = 181,834.50 : x
  2. Step 2: Convert to fraction form
    384,084.21/576,241.62 = 181,834.50/x
  3. Step 3: Cross multiply
    384,084.21x = 576,241.62 × 181,834.50
  4. Step 4: Simplify right side
    384,084.21x = 104,780,606,851.89
  5. Step 5: Solve for x
    x = 104,780,606,851.89/384,084.21
  6. Step 6: Final answer
    x = 272,806.34

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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.