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Finding the Fourth Proportional to 331,776.40, 497,664.60 and 82,458.40

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Solution

The fourth proportional to 331,776.40, 497,664.60 and 82,458.40 is: 123,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,776.40 : 497,664.60 = 82,458.40 : x
  2. Step 2: Convert to fraction form
    331,776.40/497,664.60 = 82,458.40/x
  3. Step 3: Cross multiply
    331,776.40x = 497,664.60 × 82,458.40
  4. Step 4: Simplify right side
    331,776.40x = 41,036,626,652.64
  5. Step 5: Solve for x
    x = 41,036,626,652.64/331,776.40
  6. Step 6: Final answer
    x = 123,687.60

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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.