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Finding the Fourth Proportional to 3,471,218.40, 5,206,827.60 and 946,869.60

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Solution

The fourth proportional to 3,471,218.40, 5,206,827.60 and 946,869.60 is: 1,420,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,218.40 : 5,206,827.60 = 946,869.60 : x
  2. Step 2: Convert to fraction form
    3,471,218.40/5,206,827.60 = 946,869.60/x
  3. Step 3: Cross multiply
    3,471,218.40x = 5,206,827.60 × 946,869.60
  4. Step 4: Simplify right side
    3,471,218.40x = 4,930,186,766,880.96
  5. Step 5: Solve for x
    x = 4,930,186,766,880.96/3,471,218.40
  6. Step 6: Final answer
    x = 1,420,304.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.