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Finding the Fourth Proportional to 493,163.49, 680,526.86 and 302,150.91

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Solution

The fourth proportional to 493,163.49, 680,526.86 and 302,150.91 is: 416,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,163.49 : 680,526.86 = 302,150.91 : x
  2. Step 2: Convert to fraction form
    493,163.49/680,526.86 = 302,150.91/x
  3. Step 3: Cross multiply
    493,163.49x = 680,526.86 × 302,150.91
  4. Step 4: Simplify right side
    493,163.49x = 205,621,808,517.69
  5. Step 5: Solve for x
    x = 205,621,808,517.69/493,163.49
  6. Step 6: Final answer
    x = 416,944.51

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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.