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Finding the Fourth Proportional to 536,296.40, 803,932.60 and 199,246.80

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Solution

The fourth proportional to 536,296.40, 803,932.60 and 199,246.80 is: 298,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,296.40 : 803,932.60 = 199,246.80 : x
  2. Step 2: Convert to fraction form
    536,296.40/803,932.60 = 199,246.80/x
  3. Step 3: Cross multiply
    536,296.40x = 803,932.60 × 199,246.80
  4. Step 4: Simplify right side
    536,296.40x = 160,180,997,965.68
  5. Step 5: Solve for x
    x = 160,180,997,965.68/536,296.40
  6. Step 6: Final answer
    x = 298,679.98

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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.