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Finding the Fourth Proportional to 844,634, 1,165,580.52 and 462,659.60

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Solution

The fourth proportional to 844,634, 1,165,580.52 and 462,659.60 is: 638,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,634 : 1,165,580.52 = 462,659.60 : x
  2. Step 2: Convert to fraction form
    844,634/1,165,580.52 = 462,659.60/x
  3. Step 3: Cross multiply
    844,634x = 1,165,580.52 × 462,659.60
  4. Step 4: Simplify right side
    844,634x = 539,267,017,150.99
  5. Step 5: Solve for x
    x = 539,267,017,150.99/844,634
  6. Step 6: Final answer
    x = 638,462.36

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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.