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Finding the Fourth Proportional to 300,735.68, 450,962.22 and 174,411.80

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Solution

The fourth proportional to 300,735.68, 450,962.22 and 174,411.80 is: 261,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,735.68 : 450,962.22 = 174,411.80 : x
  2. Step 2: Convert to fraction form
    300,735.68/450,962.22 = 174,411.80/x
  3. Step 3: Cross multiply
    300,735.68x = 450,962.22 × 174,411.80
  4. Step 4: Simplify right side
    300,735.68x = 78,653,132,522.20
  5. Step 5: Solve for x
    x = 78,653,132,522.20/300,735.68
  6. Step 6: Final answer
    x = 261,535.75

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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.