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Finding the Fourth Proportional to 647,082.10, 971,607.30 and 497,491.30

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Solution

The fourth proportional to 647,082.10, 971,607.30 and 497,491.30 is: 746,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,082.10 : 971,607.30 = 497,491.30 : x
  2. Step 2: Convert to fraction form
    647,082.10/971,607.30 = 497,491.30/x
  3. Step 3: Cross multiply
    647,082.10x = 971,607.30 × 497,491.30
  4. Step 4: Simplify right side
    647,082.10x = 483,366,178,766.49
  5. Step 5: Solve for x
    x = 483,366,178,766.49/647,082.10
  6. Step 6: Final answer
    x = 746,993.59

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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.