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Finding the Fourth Proportional to 420,474.10, 631,560.12 and 252,313.84

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Solution

The fourth proportional to 420,474.10, 631,560.12 and 252,313.84 is: 378,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,474.10 : 631,560.12 = 252,313.84 : x
  2. Step 2: Convert to fraction form
    420,474.10/631,560.12 = 252,313.84/x
  3. Step 3: Cross multiply
    420,474.10x = 631,560.12 × 252,313.84
  4. Step 4: Simplify right side
    420,474.10x = 159,351,359,068.06
  5. Step 5: Solve for x
    x = 159,351,359,068.06/420,474.10
  6. Step 6: Final answer
    x = 378,980.20

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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.