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Finding the Fourth Proportional to 420,155.10, 629,230.41 and 242,290.14

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Solution

The fourth proportional to 420,155.10, 629,230.41 and 242,290.14 is: 362,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,155.10 : 629,230.41 = 242,290.14 : x
  2. Step 2: Convert to fraction form
    420,155.10/629,230.41 = 242,290.14/x
  3. Step 3: Cross multiply
    420,155.10x = 629,230.41 × 242,290.14
  4. Step 4: Simplify right side
    420,155.10x = 152,456,324,131.16
  5. Step 5: Solve for x
    x = 152,456,324,131.16/420,155.10
  6. Step 6: Final answer
    x = 362,857.25

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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.