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Finding the Fourth Proportional to 844,681.74, 1,165,660.74 and 462,708.42

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Solution

The fourth proportional to 844,681.74, 1,165,660.74 and 462,708.42 is: 638,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,681.74 : 1,165,660.74 = 462,708.42 : x
  2. Step 2: Convert to fraction form
    844,681.74/1,165,660.74 = 462,708.42/x
  3. Step 3: Cross multiply
    844,681.74x = 1,165,660.74 × 462,708.42
  4. Step 4: Simplify right side
    844,681.74x = 539,361,039,261.43
  5. Step 5: Solve for x
    x = 539,361,039,261.43/844,681.74
  6. Step 6: Final answer
    x = 638,537.59

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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.