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Finding the Fourth Proportional to 538,581.36, 807,784.41 and 254,271.36

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Solution

The fourth proportional to 538,581.36, 807,784.41 and 254,271.36 is: 381,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,581.36 : 807,784.41 = 254,271.36 : x
  2. Step 2: Convert to fraction form
    538,581.36/807,784.41 = 254,271.36/x
  3. Step 3: Cross multiply
    538,581.36x = 807,784.41 × 254,271.36
  4. Step 4: Simplify right side
    538,581.36x = 205,396,440,517.50
  5. Step 5: Solve for x
    x = 205,396,440,517.50/538,581.36
  6. Step 6: Final answer
    x = 381,365.67

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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.