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Finding the Fourth Proportional to 427,809.60, 640,936.80 and 261,403.20

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Solution

The fourth proportional to 427,809.60, 640,936.80 and 261,403.20 is: 391,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,809.60 : 640,936.80 = 261,403.20 : x
  2. Step 2: Convert to fraction form
    427,809.60/640,936.80 = 261,403.20/x
  3. Step 3: Cross multiply
    427,809.60x = 640,936.80 × 261,403.20
  4. Step 4: Simplify right side
    427,809.60x = 167,542,930,517.76
  5. Step 5: Solve for x
    x = 167,542,930,517.76/427,809.60
  6. Step 6: Final answer
    x = 391,629.67

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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.