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Finding the Fourth Proportional to 376,739.60, 565,546.80 and 216,942.80

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Solution

The fourth proportional to 376,739.60, 565,546.80 and 216,942.80 is: 325,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,739.60 : 565,546.80 = 216,942.80 : x
  2. Step 2: Convert to fraction form
    376,739.60/565,546.80 = 216,942.80/x
  3. Step 3: Cross multiply
    376,739.60x = 565,546.80 × 216,942.80
  4. Step 4: Simplify right side
    376,739.60x = 122,691,306,323.04
  5. Step 5: Solve for x
    x = 122,691,306,323.04/376,739.60
  6. Step 6: Final answer
    x = 325,666.07

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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.