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Finding the Fourth Proportional to 511,982.70, 706,531.20 and 282,542.10

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Solution

The fourth proportional to 511,982.70, 706,531.20 and 282,542.10 is: 389,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,982.70 : 706,531.20 = 282,542.10 : x
  2. Step 2: Convert to fraction form
    511,982.70/706,531.20 = 282,542.10/x
  3. Step 3: Cross multiply
    511,982.70x = 706,531.20 × 282,542.10
  4. Step 4: Simplify right side
    511,982.70x = 199,624,808,963.52
  5. Step 5: Solve for x
    x = 199,624,808,963.52/511,982.70
  6. Step 6: Final answer
    x = 389,905.38

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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.