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Finding the Fourth Proportional to 411,165.75, 616,839.35 and 174,710.55

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Solution

The fourth proportional to 411,165.75, 616,839.35 and 174,710.55 is: 262,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,165.75 : 616,839.35 = 174,710.55 : x
  2. Step 2: Convert to fraction form
    411,165.75/616,839.35 = 174,710.55/x
  3. Step 3: Cross multiply
    411,165.75x = 616,839.35 × 174,710.55
  4. Step 4: Simplify right side
    411,165.75x = 107,768,341,226.59
  5. Step 5: Solve for x
    x = 107,768,341,226.59/411,165.75
  6. Step 6: Final answer
    x = 262,104.37

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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.