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Finding the Fourth Proportional to 656,713.80, 982,883.70 and 476,286.30

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Solution

The fourth proportional to 656,713.80, 982,883.70 and 476,286.30 is: 712,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,713.80 : 982,883.70 = 476,286.30 : x
  2. Step 2: Convert to fraction form
    656,713.80/982,883.70 = 476,286.30/x
  3. Step 3: Cross multiply
    656,713.80x = 982,883.70 × 476,286.30
  4. Step 4: Simplify right side
    656,713.80x = 468,134,040,803.31
  5. Step 5: Solve for x
    x = 468,134,040,803.31/656,713.80
  6. Step 6: Final answer
    x = 712,843.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.