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Finding the Fourth Proportional to 273,886.70, 410,830.05 and 189,905.90

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Solution

The fourth proportional to 273,886.70, 410,830.05 and 189,905.90 is: 284,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,886.70 : 410,830.05 = 189,905.90 : x
  2. Step 2: Convert to fraction form
    273,886.70/410,830.05 = 189,905.90/x
  3. Step 3: Cross multiply
    273,886.70x = 410,830.05 × 189,905.90
  4. Step 4: Simplify right side
    273,886.70x = 78,019,050,392.30
  5. Step 5: Solve for x
    x = 78,019,050,392.30/273,886.70
  6. Step 6: Final answer
    x = 284,858.85

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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.