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Finding the Fourth Proportional to 532,105.73, 734,321.46 and 290,403.82

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Solution

The fourth proportional to 532,105.73, 734,321.46 and 290,403.82 is: 400,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,105.73 : 734,321.46 = 290,403.82 : x
  2. Step 2: Convert to fraction form
    532,105.73/734,321.46 = 290,403.82/x
  3. Step 3: Cross multiply
    532,105.73x = 734,321.46 × 290,403.82
  4. Step 4: Simplify right side
    532,105.73x = 213,249,757,091.98
  5. Step 5: Solve for x
    x = 213,249,757,091.98/532,105.73
  6. Step 6: Final answer
    x = 400,765.76

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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.