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Finding the Fourth Proportional to 491,370.28, 735,874.32 and 280,368.52

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Solution

The fourth proportional to 491,370.28, 735,874.32 and 280,368.52 is: 419,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,370.28 : 735,874.32 = 280,368.52 : x
  2. Step 2: Convert to fraction form
    491,370.28/735,874.32 = 280,368.52/x
  3. Step 3: Cross multiply
    491,370.28x = 735,874.32 × 280,368.52
  4. Step 4: Simplify right side
    491,370.28x = 206,315,994,004.41
  5. Step 5: Solve for x
    x = 206,315,994,004.41/491,370.28
  6. Step 6: Final answer
    x = 419,878.86

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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.