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Finding the Fourth Proportional to 273,659.10, 409,613.85 and 194,927.10

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Solution

The fourth proportional to 273,659.10, 409,613.85 and 194,927.10 is: 291,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,659.10 : 409,613.85 = 194,927.10 : x
  2. Step 2: Convert to fraction form
    273,659.10/409,613.85 = 194,927.10/x
  3. Step 3: Cross multiply
    273,659.10x = 409,613.85 × 194,927.10
  4. Step 4: Simplify right side
    273,659.10x = 79,844,839,900.34
  5. Step 5: Solve for x
    x = 79,844,839,900.34/273,659.10
  6. Step 6: Final answer
    x = 291,767.53

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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.