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Finding the Fourth Proportional to 384,744.49, 577,178.75 and 118,504.88

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Solution

The fourth proportional to 384,744.49, 577,178.75 and 118,504.88 is: 177,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.49 : 577,178.75 = 118,504.88 : x
  2. Step 2: Convert to fraction form
    384,744.49/577,178.75 = 118,504.88/x
  3. Step 3: Cross multiply
    384,744.49x = 577,178.75 × 118,504.88
  4. Step 4: Simplify right side
    384,744.49x = 68,398,498,507.30
  5. Step 5: Solve for x
    x = 68,398,498,507.30/384,744.49
  6. Step 6: Final answer
    x = 177,776.42

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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.