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Finding the Fourth Proportional to 273,009.40, 409,514.10 and 202,150.60

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Solution

The fourth proportional to 273,009.40, 409,514.10 and 202,150.60 is: 303,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,009.40 : 409,514.10 = 202,150.60 : x
  2. Step 2: Convert to fraction form
    273,009.40/409,514.10 = 202,150.60/x
  3. Step 3: Cross multiply
    273,009.40x = 409,514.10 × 202,150.60
  4. Step 4: Simplify right side
    273,009.40x = 82,783,521,023.46
  5. Step 5: Solve for x
    x = 82,783,521,023.46/273,009.40
  6. Step 6: Final answer
    x = 303,225.90

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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.