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Finding the Fourth Proportional to 541,294.20, 811,595.70 and 225,876.60

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Solution

The fourth proportional to 541,294.20, 811,595.70 and 225,876.60 is: 338,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,294.20 : 811,595.70 = 225,876.60 : x
  2. Step 2: Convert to fraction form
    541,294.20/811,595.70 = 225,876.60/x
  3. Step 3: Cross multiply
    541,294.20x = 811,595.70 × 225,876.60
  4. Step 4: Simplify right side
    541,294.20x = 183,320,477,290.62
  5. Step 5: Solve for x
    x = 183,320,477,290.62/541,294.20
  6. Step 6: Final answer
    x = 338,670.68

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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.