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Finding the Fourth Proportional to 497,627.14, 746,441.24 and 123,650.14

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Solution

The fourth proportional to 497,627.14, 746,441.24 and 123,650.14 is: 185,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,627.14 : 746,441.24 = 123,650.14 : x
  2. Step 2: Convert to fraction form
    497,627.14/746,441.24 = 123,650.14/x
  3. Step 3: Cross multiply
    497,627.14x = 746,441.24 × 123,650.14
  4. Step 4: Simplify right side
    497,627.14x = 92,297,563,827.77
  5. Step 5: Solve for x
    x = 92,297,563,827.77/497,627.14
  6. Step 6: Final answer
    x = 185,475.34

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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.