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Finding the Fourth Proportional to 384,892.80, 577,352.40 and 118,651.20

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Solution

The fourth proportional to 384,892.80, 577,352.40 and 118,651.20 is: 177,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,892.80 : 577,352.40 = 118,651.20 : x
  2. Step 2: Convert to fraction form
    384,892.80/577,352.40 = 118,651.20/x
  3. Step 3: Cross multiply
    384,892.80x = 577,352.40 × 118,651.20
  4. Step 4: Simplify right side
    384,892.80x = 68,503,555,082.88
  5. Step 5: Solve for x
    x = 68,503,555,082.88/384,892.80
  6. Step 6: Final answer
    x = 177,980.87

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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.