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Finding the Fourth Proportional to 465,558.64, 698,644.20 and 255,344.20

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Solution

The fourth proportional to 465,558.64, 698,644.20 and 255,344.20 is: 383,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,558.64 : 698,644.20 = 255,344.20 : x
  2. Step 2: Convert to fraction form
    465,558.64/698,644.20 = 255,344.20/x
  3. Step 3: Cross multiply
    465,558.64x = 698,644.20 × 255,344.20
  4. Step 4: Simplify right side
    465,558.64x = 178,394,744,333.64
  5. Step 5: Solve for x
    x = 178,394,744,333.64/465,558.64
  6. Step 6: Final answer
    x = 383,184.26

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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.