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Finding the Fourth Proportional to 273,905.30, 410,051.55 and 204,094.10

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Solution

The fourth proportional to 273,905.30, 410,051.55 and 204,094.10 is: 305,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,905.30 : 410,051.55 = 204,094.10 : x
  2. Step 2: Convert to fraction form
    273,905.30/410,051.55 = 204,094.10/x
  3. Step 3: Cross multiply
    273,905.30x = 410,051.55 × 204,094.10
  4. Step 4: Simplify right side
    273,905.30x = 83,689,102,050.86
  5. Step 5: Solve for x
    x = 83,689,102,050.86/273,905.30
  6. Step 6: Final answer
    x = 305,540.28

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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.