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Finding the Fourth Proportional to 456,392.10, 629,611.56 and 295,299.66

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Solution

The fourth proportional to 456,392.10, 629,611.56 and 295,299.66 is: 407,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,392.10 : 629,611.56 = 295,299.66 : x
  2. Step 2: Convert to fraction form
    456,392.10/629,611.56 = 295,299.66/x
  3. Step 3: Cross multiply
    456,392.10x = 629,611.56 × 295,299.66
  4. Step 4: Simplify right side
    456,392.10x = 185,924,079,600.07
  5. Step 5: Solve for x
    x = 185,924,079,600.07/456,392.10
  6. Step 6: Final answer
    x = 407,377.95

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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.