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Finding the Fourth Proportional to 377,598.24, 566,306.64 and 111,286.80

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Solution

The fourth proportional to 377,598.24, 566,306.64 and 111,286.80 is: 166,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,598.24 : 566,306.64 = 111,286.80 : x
  2. Step 2: Convert to fraction form
    377,598.24/566,306.64 = 111,286.80/x
  3. Step 3: Cross multiply
    377,598.24x = 566,306.64 × 111,286.80
  4. Step 4: Simplify right side
    377,598.24x = 63,022,453,784.35
  5. Step 5: Solve for x
    x = 63,022,453,784.35/377,598.24
  6. Step 6: Final answer
    x = 166,903.46

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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.