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Finding the Fourth Proportional to 418,219.87, 626,977.14 and 181,384.17

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Solution

The fourth proportional to 418,219.87, 626,977.14 and 181,384.17 is: 271,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,219.87 : 626,977.14 = 181,384.17 : x
  2. Step 2: Convert to fraction form
    418,219.87/626,977.14 = 181,384.17/x
  3. Step 3: Cross multiply
    418,219.87x = 626,977.14 × 181,384.17
  4. Step 4: Simplify right side
    418,219.87x = 113,723,728,147.87
  5. Step 5: Solve for x
    x = 113,723,728,147.87/418,219.87
  6. Step 6: Final answer
    x = 271,923.30

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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.