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Finding the Fourth Proportional to 647,541.20, 971,311.80 and 597,774.80

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Solution

The fourth proportional to 647,541.20, 971,311.80 and 597,774.80 is: 896,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,541.20 : 971,311.80 = 597,774.80 : x
  2. Step 2: Convert to fraction form
    647,541.20/971,311.80 = 597,774.80/x
  3. Step 3: Cross multiply
    647,541.20x = 971,311.80 × 597,774.80
  4. Step 4: Simplify right side
    647,541.20x = 580,625,716,982.64
  5. Step 5: Solve for x
    x = 580,625,716,982.64/647,541.20
  6. Step 6: Final answer
    x = 896,662.20

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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.