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Finding the Fourth Proportional to 647,540.80, 971,311.20 and 643,393.60

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Solution

The fourth proportional to 647,540.80, 971,311.20 and 643,393.60 is: 965,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,540.80 : 971,311.20 = 643,393.60 : x
  2. Step 2: Convert to fraction form
    647,540.80/971,311.20 = 643,393.60/x
  3. Step 3: Cross multiply
    647,540.80x = 971,311.20 × 643,393.60
  4. Step 4: Simplify right side
    647,540.80x = 624,935,409,688.32
  5. Step 5: Solve for x
    x = 624,935,409,688.32/647,540.80
  6. Step 6: Final answer
    x = 965,090.40

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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.