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Finding the Fourth Proportional to 547,796.10, 821,694.15 and 463,815.30

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Solution

The fourth proportional to 547,796.10, 821,694.15 and 463,815.30 is: 695,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,796.10 : 821,694.15 = 463,815.30 : x
  2. Step 2: Convert to fraction form
    547,796.10/821,694.15 = 463,815.30/x
  3. Step 3: Cross multiply
    547,796.10x = 821,694.15 × 463,815.30
  4. Step 4: Simplify right side
    547,796.10x = 381,114,318,690.50
  5. Step 5: Solve for x
    x = 381,114,318,690.50/547,796.10
  6. Step 6: Final answer
    x = 695,722.95

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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.