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Finding the Fourth Proportional to 536,414.40, 804,109.60 and 199,364.80

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Solution

The fourth proportional to 536,414.40, 804,109.60 and 199,364.80 is: 298,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,414.40 : 804,109.60 = 199,364.80 : x
  2. Step 2: Convert to fraction form
    536,414.40/804,109.60 = 199,364.80/x
  3. Step 3: Cross multiply
    536,414.40x = 804,109.60 × 199,364.80
  4. Step 4: Simplify right side
    536,414.40x = 160,311,149,582.08
  5. Step 5: Solve for x
    x = 160,311,149,582.08/536,414.40
  6. Step 6: Final answer
    x = 298,856.91

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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.