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Finding the Fourth Proportional to 734,641.43, 1,013,735.16 and 412,277.63

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Solution

The fourth proportional to 734,641.43, 1,013,735.16 and 412,277.63 is: 568,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,641.43 : 1,013,735.16 = 412,277.63 : x
  2. Step 2: Convert to fraction form
    734,641.43/1,013,735.16 = 412,277.63/x
  3. Step 3: Cross multiply
    734,641.43x = 1,013,735.16 × 412,277.63
  4. Step 4: Simplify right side
    734,641.43x = 417,940,324,143.80
  5. Step 5: Solve for x
    x = 417,940,324,143.80/734,641.43
  6. Step 6: Final answer
    x = 568,903.84

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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.