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Finding the Fourth Proportional to 647,537.70, 971,306.55 and 597,771.30

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Solution

The fourth proportional to 647,537.70, 971,306.55 and 597,771.30 is: 896,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,537.70 : 971,306.55 = 597,771.30 : x
  2. Step 2: Convert to fraction form
    647,537.70/971,306.55 = 597,771.30/x
  3. Step 3: Cross multiply
    647,537.70x = 971,306.55 × 597,771.30
  4. Step 4: Simplify right side
    647,537.70x = 580,619,179,092.02
  5. Step 5: Solve for x
    x = 580,619,179,092.02/647,537.70
  6. Step 6: Final answer
    x = 896,656.95

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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.