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Finding the Fourth Proportional to 384,201.88, 576,348.83 and 117,927.52

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Solution

The fourth proportional to 384,201.88, 576,348.83 and 117,927.52 is: 176,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,201.88 : 576,348.83 = 117,927.52 : x
  2. Step 2: Convert to fraction form
    384,201.88/576,348.83 = 117,927.52/x
  3. Step 3: Cross multiply
    384,201.88x = 576,348.83 × 117,927.52
  4. Step 4: Simplify right side
    384,201.88x = 67,967,385,589.88
  5. Step 5: Solve for x
    x = 67,967,385,589.88/384,201.88
  6. Step 6: Final answer
    x = 176,905.40

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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.