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Finding the Fourth Proportional to 419,962.10, 629,943.15 and 242,815.10

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Solution

The fourth proportional to 419,962.10, 629,943.15 and 242,815.10 is: 364,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,962.10 : 629,943.15 = 242,815.10 : x
  2. Step 2: Convert to fraction form
    419,962.10/629,943.15 = 242,815.10/x
  3. Step 3: Cross multiply
    419,962.10x = 629,943.15 × 242,815.10
  4. Step 4: Simplify right side
    419,962.10x = 152,959,708,961.57
  5. Step 5: Solve for x
    x = 152,959,708,961.57/419,962.10
  6. Step 6: Final answer
    x = 364,222.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.