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Finding the Fourth Proportional to 597,652.98, 825,568.83 and 477,635.46

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Solution

The fourth proportional to 597,652.98, 825,568.83 and 477,635.46 is: 659,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,652.98 : 825,568.83 = 477,635.46 : x
  2. Step 2: Convert to fraction form
    597,652.98/825,568.83 = 477,635.46/x
  3. Step 3: Cross multiply
    597,652.98x = 825,568.83 × 477,635.46
  4. Step 4: Simplify right side
    597,652.98x = 394,320,947,878.71
  5. Step 5: Solve for x
    x = 394,320,947,878.71/597,652.98
  6. Step 6: Final answer
    x = 659,782.45

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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.