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Finding the Fourth Proportional to 844,348.84, 1,165,227.78 and 462,411.88

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Solution

The fourth proportional to 844,348.84, 1,165,227.78 and 462,411.88 is: 638,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,348.84 : 1,165,227.78 = 462,411.88 : x
  2. Step 2: Convert to fraction form
    844,348.84/1,165,227.78 = 462,411.88/x
  3. Step 3: Cross multiply
    844,348.84x = 1,165,227.78 × 462,411.88
  4. Step 4: Simplify right side
    844,348.84x = 538,815,168,378.03
  5. Step 5: Solve for x
    x = 538,815,168,378.03/844,348.84
  6. Step 6: Final answer
    x = 638,142.84

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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.