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Finding the Fourth Proportional to 456,462.37, 629,705.82 and 295,369.48

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Solution

The fourth proportional to 456,462.37, 629,705.82 and 295,369.48 is: 407,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,462.37 : 629,705.82 = 295,369.48 : x
  2. Step 2: Convert to fraction form
    456,462.37/629,705.82 = 295,369.48/x
  3. Step 3: Cross multiply
    456,462.37x = 629,705.82 × 295,369.48
  4. Step 4: Simplify right side
    456,462.37x = 185,995,880,606.37
  5. Step 5: Solve for x
    x = 185,995,880,606.37/456,462.37
  6. Step 6: Final answer
    x = 407,472.54

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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.