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Finding the Fourth Proportional to 456,046.25, 683,401.93 and 256,755.47

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Solution

The fourth proportional to 456,046.25, 683,401.93 and 256,755.47 is: 384,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,046.25 : 683,401.93 = 256,755.47 : x
  2. Step 2: Convert to fraction form
    456,046.25/683,401.93 = 256,755.47/x
  3. Step 3: Cross multiply
    456,046.25x = 683,401.93 × 256,755.47
  4. Step 4: Simplify right side
    456,046.25x = 175,467,179,677.16
  5. Step 5: Solve for x
    x = 175,467,179,677.16/456,046.25
  6. Step 6: Final answer
    x = 384,757.43

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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.