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Finding the Fourth Proportional to 345,983.96, 477,033.65 and 284,515.34

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Solution

The fourth proportional to 345,983.96, 477,033.65 and 284,515.34 is: 392,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,983.96 : 477,033.65 = 284,515.34 : x
  2. Step 2: Convert to fraction form
    345,983.96/477,033.65 = 284,515.34/x
  3. Step 3: Cross multiply
    345,983.96x = 477,033.65 × 284,515.34
  4. Step 4: Simplify right side
    345,983.96x = 135,723,391,121.19
  5. Step 5: Solve for x
    x = 135,723,391,121.19/345,983.96
  6. Step 6: Final answer
    x = 392,282.32

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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.