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Finding the Fourth Proportional to 380,529.86, 524,932.14 and 235,289.24

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Solution

The fourth proportional to 380,529.86, 524,932.14 and 235,289.24 is: 324,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,529.86 : 524,932.14 = 235,289.24 : x
  2. Step 2: Convert to fraction form
    380,529.86/524,932.14 = 235,289.24/x
  3. Step 3: Cross multiply
    380,529.86x = 524,932.14 × 235,289.24
  4. Step 4: Simplify right side
    380,529.86x = 123,510,884,272.17
  5. Step 5: Solve for x
    x = 123,510,884,272.17/380,529.86
  6. Step 6: Final answer
    x = 324,576.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.