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Finding the Fourth Proportional to 456,048, 629,346.24 and 254,844

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Solution

The fourth proportional to 456,048, 629,346.24 and 254,844 is: 351,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,048 : 629,346.24 = 254,844 : x
  2. Step 2: Convert to fraction form
    456,048/629,346.24 = 254,844/x
  3. Step 3: Cross multiply
    456,048x = 629,346.24 × 254,844
  4. Step 4: Simplify right side
    456,048x = 160,385,113,186.56
  5. Step 5: Solve for x
    x = 160,385,113,186.56/456,048
  6. Step 6: Final answer
    x = 351,684.72

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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.