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Finding the Fourth Proportional to 511,758.16, 705,997.99 and 296,773.73

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Solution

The fourth proportional to 511,758.16, 705,997.99 and 296,773.73 is: 409,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758.16 : 705,997.99 = 296,773.73 : x
  2. Step 2: Convert to fraction form
    511,758.16/705,997.99 = 296,773.73/x
  3. Step 3: Cross multiply
    511,758.16x = 705,997.99 × 296,773.73
  4. Step 4: Simplify right side
    511,758.16x = 209,521,656,864.80
  5. Step 5: Solve for x
    x = 209,521,656,864.80/511,758.16
  6. Step 6: Final answer
    x = 409,415.37

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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.