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Finding the Fourth Proportional to 419,826.40, 629,739.60 and 153,595.60

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Solution

The fourth proportional to 419,826.40, 629,739.60 and 153,595.60 is: 230,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,826.40 : 629,739.60 = 153,595.60 : x
  2. Step 2: Convert to fraction form
    419,826.40/629,739.60 = 153,595.60/x
  3. Step 3: Cross multiply
    419,826.40x = 629,739.60 × 153,595.60
  4. Step 4: Simplify right side
    419,826.40x = 96,725,231,705.76
  5. Step 5: Solve for x
    x = 96,725,231,705.76/419,826.40
  6. Step 6: Final answer
    x = 230,393.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.