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Finding the Fourth Proportional to 273,207.60, 409,811.40 and 193,491.45

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Solution

The fourth proportional to 273,207.60, 409,811.40 and 193,491.45 is: 290,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,207.60 : 409,811.40 = 193,491.45 : x
  2. Step 2: Convert to fraction form
    273,207.60/409,811.40 = 193,491.45/x
  3. Step 3: Cross multiply
    273,207.60x = 409,811.40 × 193,491.45
  4. Step 4: Simplify right side
    273,207.60x = 79,295,002,012.53
  5. Step 5: Solve for x
    x = 79,295,002,012.53/273,207.60
  6. Step 6: Final answer
    x = 290,237.18

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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.