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Finding the Fourth Proportional to 384,780.92, 577,234.56 and 118,535.60

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Solution

The fourth proportional to 384,780.92, 577,234.56 and 118,535.60 is: 177,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,780.92 : 577,234.56 = 118,535.60 : x
  2. Step 2: Convert to fraction form
    384,780.92/577,234.56 = 118,535.60/x
  3. Step 3: Cross multiply
    384,780.92x = 577,234.56 × 118,535.60
  4. Step 4: Simplify right side
    384,780.92x = 68,422,844,910.34
  5. Step 5: Solve for x
    x = 68,422,844,910.34/384,780.92
  6. Step 6: Final answer
    x = 177,822.86

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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.