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Finding the Fourth Proportional to 541,394.82, 813,564.37 and 288,853.73

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Solution

The fourth proportional to 541,394.82, 813,564.37 and 288,853.73 is: 434,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,394.82 : 813,564.37 = 288,853.73 : x
  2. Step 2: Convert to fraction form
    541,394.82/813,564.37 = 288,853.73/x
  3. Step 3: Cross multiply
    541,394.82x = 813,564.37 × 288,853.73
  4. Step 4: Simplify right side
    541,394.82x = 235,001,102,213.71
  5. Step 5: Solve for x
    x = 235,001,102,213.71/541,394.82
  6. Step 6: Final answer
    x = 434,066.03

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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.