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Finding the Fourth Proportional to 511,896.81, 706,412.05 and 282,463.77

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Solution

The fourth proportional to 511,896.81, 706,412.05 and 282,463.77 is: 389,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,896.81 : 706,412.05 = 282,463.77 : x
  2. Step 2: Convert to fraction form
    511,896.81/706,412.05 = 282,463.77/x
  3. Step 3: Cross multiply
    511,896.81x = 706,412.05 × 282,463.77
  4. Step 4: Simplify right side
    511,896.81x = 199,535,810,816.43
  5. Step 5: Solve for x
    x = 199,535,810,816.43/511,896.81
  6. Step 6: Final answer
    x = 389,796.94

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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.