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Finding the Fourth Proportional to 653,807.94, 980,768.34 and 180,493.35

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Solution

The fourth proportional to 653,807.94, 980,768.34 and 180,493.35 is: 270,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,807.94 : 980,768.34 = 180,493.35 : x
  2. Step 2: Convert to fraction form
    653,807.94/980,768.34 = 180,493.35/x
  3. Step 3: Cross multiply
    653,807.94x = 980,768.34 × 180,493.35
  4. Step 4: Simplify right side
    653,807.94x = 177,022,163,260.54
  5. Step 5: Solve for x
    x = 177,022,163,260.54/653,807.94
  6. Step 6: Final answer
    x = 270,755.60

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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.