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Finding the Fourth Proportional to 384,087.80, 576,218.10 and 117,860.60

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Solution

The fourth proportional to 384,087.80, 576,218.10 and 117,860.60 is: 176,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,087.80 : 576,218.10 = 117,860.60 : x
  2. Step 2: Convert to fraction form
    384,087.80/576,218.10 = 117,860.60/x
  3. Step 3: Cross multiply
    384,087.80x = 576,218.10 × 117,860.60
  4. Step 4: Simplify right side
    384,087.80x = 67,913,410,996.86
  5. Step 5: Solve for x
    x = 67,913,410,996.86/384,087.80
  6. Step 6: Final answer
    x = 176,817.41

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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.