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Finding the Fourth Proportional to 844,347.84, 1,165,226.40 and 462,410.88

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Solution

The fourth proportional to 844,347.84, 1,165,226.40 and 462,410.88 is: 638,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,347.84 : 1,165,226.40 = 462,410.88 : x
  2. Step 2: Convert to fraction form
    844,347.84/1,165,226.40 = 462,410.88/x
  3. Step 3: Cross multiply
    844,347.84x = 1,165,226.40 × 462,410.88
  4. Step 4: Simplify right side
    844,347.84x = 538,813,365,023.23
  5. Step 5: Solve for x
    x = 538,813,365,023.23/844,347.84
  6. Step 6: Final answer
    x = 638,141.46

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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.