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Finding the Fourth Proportional to 384,296.42, 576,796.17 and 194,887.53

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Solution

The fourth proportional to 384,296.42, 576,796.17 and 194,887.53 is: 292,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,296.42 : 576,796.17 = 194,887.53 : x
  2. Step 2: Convert to fraction form
    384,296.42/576,796.17 = 194,887.53/x
  3. Step 3: Cross multiply
    384,296.42x = 576,796.17 × 194,887.53
  4. Step 4: Simplify right side
    384,296.42x = 112,410,380,884.76
  5. Step 5: Solve for x
    x = 112,410,380,884.76/384,296.42
  6. Step 6: Final answer
    x = 292,509.57

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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.