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Finding the Fourth Proportional to 456,232.64, 629,391.77 and 295,139.63

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Solution

The fourth proportional to 456,232.64, 629,391.77 and 295,139.63 is: 407,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,232.64 : 629,391.77 = 295,139.63 : x
  2. Step 2: Convert to fraction form
    456,232.64/629,391.77 = 295,139.63/x
  3. Step 3: Cross multiply
    456,232.64x = 629,391.77 × 295,139.63
  4. Step 4: Simplify right side
    456,232.64x = 185,758,454,220.63
  5. Step 5: Solve for x
    x = 185,758,454,220.63/456,232.64
  6. Step 6: Final answer
    x = 407,157.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.