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Finding the Fourth Proportional to 844,451.12, 1,165,352.46 and 462,494

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Solution

The fourth proportional to 844,451.12, 1,165,352.46 and 462,494 is: 638,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,451.12 : 1,165,352.46 = 462,494 : x
  2. Step 2: Convert to fraction form
    844,451.12/1,165,352.46 = 462,494/x
  3. Step 3: Cross multiply
    844,451.12x = 1,165,352.46 × 462,494
  4. Step 4: Simplify right side
    844,451.12x = 538,968,520,635.24
  5. Step 5: Solve for x
    x = 538,968,520,635.24/844,451.12
  6. Step 6: Final answer
    x = 638,247.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.