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Finding the Fourth Proportional to 456,391.60, 629,610.87 and 295,299.16

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Solution

The fourth proportional to 456,391.60, 629,610.87 and 295,299.16 is: 407,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,391.60 : 629,610.87 = 295,299.16 : x
  2. Step 2: Convert to fraction form
    456,391.60/629,610.87 = 295,299.16/x
  3. Step 3: Cross multiply
    456,391.60x = 629,610.87 × 295,299.16
  4. Step 4: Simplify right side
    456,391.60x = 185,923,561,037.87
  5. Step 5: Solve for x
    x = 185,923,561,037.87/456,391.60
  6. Step 6: Final answer
    x = 407,377.26

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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.