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Finding the Fourth Proportional to 456,118.14, 629,443.78 and 254,914.14

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Solution

The fourth proportional to 456,118.14, 629,443.78 and 254,914.14 is: 351,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,118.14 : 629,443.78 = 254,914.14 : x
  2. Step 2: Convert to fraction form
    456,118.14/629,443.78 = 254,914.14/x
  3. Step 3: Cross multiply
    456,118.14x = 629,443.78 × 254,914.14
  4. Step 4: Simplify right side
    456,118.14x = 160,454,119,857.05
  5. Step 5: Solve for x
    x = 160,454,119,857.05/456,118.14
  6. Step 6: Final answer
    x = 351,781.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.