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Finding the Fourth Proportional to 365,732.55, 504,687.06 and 204,559.65

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Solution

The fourth proportional to 365,732.55, 504,687.06 and 204,559.65 is: 282,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,732.55 : 504,687.06 = 204,559.65 : x
  2. Step 2: Convert to fraction form
    365,732.55/504,687.06 = 204,559.65/x
  3. Step 3: Cross multiply
    365,732.55x = 504,687.06 × 204,559.65
  4. Step 4: Simplify right side
    365,732.55x = 103,238,608,353.13
  5. Step 5: Solve for x
    x = 103,238,608,353.13/365,732.55
  6. Step 6: Final answer
    x = 282,278.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.