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Finding the Fourth Proportional to 419,830.60, 629,745.90 and 402,334.60

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Solution

The fourth proportional to 419,830.60, 629,745.90 and 402,334.60 is: 603,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,830.60 : 629,745.90 = 402,334.60 : x
  2. Step 2: Convert to fraction form
    419,830.60/629,745.90 = 402,334.60/x
  3. Step 3: Cross multiply
    419,830.60x = 629,745.90 × 402,334.60
  4. Step 4: Simplify right side
    419,830.60x = 253,368,564,778.14
  5. Step 5: Solve for x
    x = 253,368,564,778.14/419,830.60
  6. Step 6: Final answer
    x = 603,501.90

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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.