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Finding the Fourth Proportional to 511,797.72, 706,282.08 and 285,457.80

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Solution

The fourth proportional to 511,797.72, 706,282.08 and 285,457.80 is: 393,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,797.72 : 706,282.08 = 285,457.80 : x
  2. Step 2: Convert to fraction form
    511,797.72/706,282.08 = 285,457.80/x
  3. Step 3: Cross multiply
    511,797.72x = 706,282.08 × 285,457.80
  4. Step 4: Simplify right side
    511,797.72x = 201,613,728,736.22
  5. Step 5: Solve for x
    x = 201,613,728,736.22/511,797.72
  6. Step 6: Final answer
    x = 393,932.45

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