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Finding the Fourth Proportional to 433,809.60, 650,617.20 and 285,093.60

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Solution

The fourth proportional to 433,809.60, 650,617.20 and 285,093.60 is: 427,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,809.60 : 650,617.20 = 285,093.60 : x
  2. Step 2: Convert to fraction form
    433,809.60/650,617.20 = 285,093.60/x
  3. Step 3: Cross multiply
    433,809.60x = 650,617.20 × 285,093.60
  4. Step 4: Simplify right side
    433,809.60x = 185,486,799,769.92
  5. Step 5: Solve for x
    x = 185,486,799,769.92/433,809.60
  6. Step 6: Final answer
    x = 427,576.52

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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.