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Finding the Fourth Proportional to 493,754.20, 681,193 and 365,001.81

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Solution

The fourth proportional to 493,754.20, 681,193 and 365,001.81 is: 503,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,754.20 : 681,193 = 365,001.81 : x
  2. Step 2: Convert to fraction form
    493,754.20/681,193 = 365,001.81/x
  3. Step 3: Cross multiply
    493,754.20x = 681,193 × 365,001.81
  4. Step 4: Simplify right side
    493,754.20x = 248,636,677,959.33
  5. Step 5: Solve for x
    x = 248,636,677,959.33/493,754.20
  6. Step 6: Final answer
    x = 503,563.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.