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Finding the Fourth Proportional to 493,162.99, 680,526.16 and 302,150.41

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Solution

The fourth proportional to 493,162.99, 680,526.16 and 302,150.41 is: 416,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,162.99 : 680,526.16 = 302,150.41 : x
  2. Step 2: Convert to fraction form
    493,162.99/680,526.16 = 302,150.41/x
  3. Step 3: Cross multiply
    493,162.99x = 680,526.16 × 302,150.41
  4. Step 4: Simplify right side
    493,162.99x = 205,621,258,259.73
  5. Step 5: Solve for x
    x = 205,621,258,259.73/493,162.99
  6. Step 6: Final answer
    x = 416,943.81

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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.