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Finding the Fourth Proportional to 540,384.95, 809,876.37 and 220,164.41

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Solution

The fourth proportional to 540,384.95, 809,876.37 and 220,164.41 is: 329,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,384.95 : 809,876.37 = 220,164.41 : x
  2. Step 2: Convert to fraction form
    540,384.95/809,876.37 = 220,164.41/x
  3. Step 3: Cross multiply
    540,384.95x = 809,876.37 × 220,164.41
  4. Step 4: Simplify right side
    540,384.95x = 178,305,953,173.99
  5. Step 5: Solve for x
    x = 178,305,953,173.99/540,384.95
  6. Step 6: Final answer
    x = 329,960.99

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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.