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Finding the Fourth Proportional to 493,169.40, 738,198.90 and 477,617.40

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Solution

The fourth proportional to 493,169.40, 738,198.90 and 477,617.40 is: 714,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,169.40 : 738,198.90 = 477,617.40 : x
  2. Step 2: Convert to fraction form
    493,169.40/738,198.90 = 477,617.40/x
  3. Step 3: Cross multiply
    493,169.40x = 738,198.90 × 477,617.40
  4. Step 4: Simplify right side
    493,169.40x = 352,576,639,300.86
  5. Step 5: Solve for x
    x = 352,576,639,300.86/493,169.40
  6. Step 6: Final answer
    x = 714,919.94

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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.