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Finding the Fourth Proportional to 647,957.20, 971,935.80 and 411,469.60

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Solution

The fourth proportional to 647,957.20, 971,935.80 and 411,469.60 is: 617,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,957.20 : 971,935.80 = 411,469.60 : x
  2. Step 2: Convert to fraction form
    647,957.20/971,935.80 = 411,469.60/x
  3. Step 3: Cross multiply
    647,957.20x = 971,935.80 × 411,469.60
  4. Step 4: Simplify right side
    647,957.20x = 399,922,034,851.68
  5. Step 5: Solve for x
    x = 399,922,034,851.68/647,957.20
  6. Step 6: Final answer
    x = 617,204.40

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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.