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Finding the Fourth Proportional to 384,769.92, 577,218.06 and 118,524.60

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Solution

The fourth proportional to 384,769.92, 577,218.06 and 118,524.60 is: 177,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,769.92 : 577,218.06 = 118,524.60 : x
  2. Step 2: Convert to fraction form
    384,769.92/577,218.06 = 118,524.60/x
  3. Step 3: Cross multiply
    384,769.92x = 577,218.06 × 118,524.60
  4. Step 4: Simplify right side
    384,769.92x = 68,414,539,674.28
  5. Step 5: Solve for x
    x = 68,414,539,674.28/384,769.92
  6. Step 6: Final answer
    x = 177,806.36

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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.