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Finding the Fourth Proportional to 300,735.64, 450,962.20 and 174,411.80

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Solution

The fourth proportional to 300,735.64, 450,962.20 and 174,411.80 is: 261,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,735.64 : 450,962.20 = 174,411.80 : x
  2. Step 2: Convert to fraction form
    300,735.64/450,962.20 = 174,411.80/x
  3. Step 3: Cross multiply
    300,735.64x = 450,962.20 × 174,411.80
  4. Step 4: Simplify right side
    300,735.64x = 78,653,129,033.96
  5. Step 5: Solve for x
    x = 78,653,129,033.96/300,735.64
  6. Step 6: Final answer
    x = 261,535.78

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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.