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Finding the Fourth Proportional to 647,424.80, 971,137.20 and 643,277.60

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Solution

The fourth proportional to 647,424.80, 971,137.20 and 643,277.60 is: 964,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,424.80 : 971,137.20 = 643,277.60 : x
  2. Step 2: Convert to fraction form
    647,424.80/971,137.20 = 643,277.60/x
  3. Step 3: Cross multiply
    647,424.80x = 971,137.20 × 643,277.60
  4. Step 4: Simplify right side
    647,424.80x = 624,710,807,286.72
  5. Step 5: Solve for x
    x = 624,710,807,286.72/647,424.80
  6. Step 6: Final answer
    x = 964,916.40

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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.