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Finding the Fourth Proportional to 537,137.46, 804,980.43 and 204,532.02

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Solution

The fourth proportional to 537,137.46, 804,980.43 and 204,532.02 is: 306,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,137.46 : 804,980.43 = 204,532.02 : x
  2. Step 2: Convert to fraction form
    537,137.46/804,980.43 = 204,532.02/x
  3. Step 3: Cross multiply
    537,137.46x = 804,980.43 × 204,532.02
  4. Step 4: Simplify right side
    537,137.46x = 164,644,273,408.37
  5. Step 5: Solve for x
    x = 164,644,273,408.37/537,137.46
  6. Step 6: Final answer
    x = 306,521.67

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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.