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Finding the Fourth Proportional to 844,449.12, 1,165,349.70 and 462,492

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Solution

The fourth proportional to 844,449.12, 1,165,349.70 and 462,492 is: 638,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,449.12 : 1,165,349.70 = 462,492 : x
  2. Step 2: Convert to fraction form
    844,449.12/1,165,349.70 = 462,492/x
  3. Step 3: Cross multiply
    844,449.12x = 1,165,349.70 × 462,492
  4. Step 4: Simplify right side
    844,449.12x = 538,964,913,452.40
  5. Step 5: Solve for x
    x = 538,964,913,452.40/844,449.12
  6. Step 6: Final answer
    x = 638,244.39

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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.