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Finding the Fourth Proportional to 411,962.68, 618,007.20 and 175,241.80

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Solution

The fourth proportional to 411,962.68, 618,007.20 and 175,241.80 is: 262,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,962.68 : 618,007.20 = 175,241.80 : x
  2. Step 2: Convert to fraction form
    411,962.68/618,007.20 = 175,241.80/x
  3. Step 3: Cross multiply
    411,962.68x = 618,007.20 × 175,241.80
  4. Step 4: Simplify right side
    411,962.68x = 108,300,694,140.96
  5. Step 5: Solve for x
    x = 108,300,694,140.96/411,962.68
  6. Step 6: Final answer
    x = 262,889.58

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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.