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Finding the Fourth Proportional to 511,499.62, 705,872.50 and 296,767.54

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Solution

The fourth proportional to 511,499.62, 705,872.50 and 296,767.54 is: 409,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,499.62 : 705,872.50 = 296,767.54 : x
  2. Step 2: Convert to fraction form
    511,499.62/705,872.50 = 296,767.54/x
  3. Step 3: Cross multiply
    511,499.62x = 705,872.50 × 296,767.54
  4. Step 4: Simplify right side
    511,499.62x = 209,480,045,378.65
  5. Step 5: Solve for x
    x = 209,480,045,378.65/511,499.62
  6. Step 6: Final answer
    x = 409,540.96

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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.