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Finding the Fourth Proportional to 511,526.82, 705,912.38 and 282,092.29

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Solution

The fourth proportional to 511,526.82, 705,912.38 and 282,092.29 is: 389,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,526.82 : 705,912.38 = 282,092.29 : x
  2. Step 2: Convert to fraction form
    511,526.82/705,912.38 = 282,092.29/x
  3. Step 3: Cross multiply
    511,526.82x = 705,912.38 × 282,092.29
  4. Step 4: Simplify right side
    511,526.82x = 199,132,439,813.55
  5. Step 5: Solve for x
    x = 199,132,439,813.55/511,526.82
  6. Step 6: Final answer
    x = 389,290.32

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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.