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Finding the Fourth Proportional to 411,204.20, 617,036.70 and 174,506.60

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Solution

The fourth proportional to 411,204.20, 617,036.70 and 174,506.60 is: 261,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,204.20 : 617,036.70 = 174,506.60 : x
  2. Step 2: Convert to fraction form
    411,204.20/617,036.70 = 174,506.60/x
  3. Step 3: Cross multiply
    411,204.20x = 617,036.70 × 174,506.60
  4. Step 4: Simplify right side
    411,204.20x = 107,676,976,592.22
  5. Step 5: Solve for x
    x = 107,676,976,592.22/411,204.20
  6. Step 6: Final answer
    x = 261,857.68

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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.