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Finding the Fourth Proportional to 497,625.41, 746,438.58 and 123,648.41

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Solution

The fourth proportional to 497,625.41, 746,438.58 and 123,648.41 is: 185,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,625.41 : 746,438.58 = 123,648.41 : x
  2. Step 2: Convert to fraction form
    497,625.41/746,438.58 = 123,648.41/x
  3. Step 3: Cross multiply
    497,625.41x = 746,438.58 × 123,648.41
  4. Step 4: Simplify right side
    497,625.41x = 92,295,939,847.46
  5. Step 5: Solve for x
    x = 92,295,939,847.46/497,625.41
  6. Step 6: Final answer
    x = 185,472.72

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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.