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Finding the Fourth Proportional to 411,167.25, 616,841.60 and 174,712.05

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Solution

The fourth proportional to 411,167.25, 616,841.60 and 174,712.05 is: 262,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,167.25 : 616,841.60 = 174,712.05 : x
  2. Step 2: Convert to fraction form
    411,167.25/616,841.60 = 174,712.05/x
  3. Step 3: Cross multiply
    411,167.25x = 616,841.60 × 174,712.05
  4. Step 4: Simplify right side
    411,167.25x = 107,769,659,587.72
  5. Step 5: Solve for x
    x = 107,769,659,587.72/411,167.25
  6. Step 6: Final answer
    x = 262,106.62

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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.