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Finding the Fourth Proportional to 496,507.60, 744,761.40 and 164,083.60

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Solution

The fourth proportional to 496,507.60, 744,761.40 and 164,083.60 is: 246,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,507.60 : 744,761.40 = 164,083.60 : x
  2. Step 2: Convert to fraction form
    496,507.60/744,761.40 = 164,083.60/x
  3. Step 3: Cross multiply
    496,507.60x = 744,761.40 × 164,083.60
  4. Step 4: Simplify right side
    496,507.60x = 122,203,131,653.04
  5. Step 5: Solve for x
    x = 122,203,131,653.04/496,507.60
  6. Step 6: Final answer
    x = 246,125.40

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Why These Related Problems?

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