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Finding the Fourth Proportional to 597,658.82, 825,576.86 and 477,641.30

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Solution

The fourth proportional to 597,658.82, 825,576.86 and 477,641.30 is: 659,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,658.82 : 825,576.86 = 477,641.30 : x
  2. Step 2: Convert to fraction form
    597,658.82/825,576.86 = 477,641.30/x
  3. Step 3: Cross multiply
    597,658.82x = 825,576.86 × 477,641.30
  4. Step 4: Simplify right side
    597,658.82x = 394,329,601,726.54
  5. Step 5: Solve for x
    x = 394,329,601,726.54/597,658.82
  6. Step 6: Final answer
    x = 659,790.49

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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.