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Finding the Fourth Proportional to 540,265.92, 809,835.74 and 203,074.26

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Solution

The fourth proportional to 540,265.92, 809,835.74 and 203,074.26 is: 304,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,265.92 : 809,835.74 = 203,074.26 : x
  2. Step 2: Convert to fraction form
    540,265.92/809,835.74 = 203,074.26/x
  3. Step 3: Cross multiply
    540,265.92x = 809,835.74 × 203,074.26
  4. Step 4: Simplify right side
    540,265.92x = 164,456,793,622.05
  5. Step 5: Solve for x
    x = 164,456,793,622.05/540,265.92
  6. Step 6: Final answer
    x = 304,399.72

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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.