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Finding the Fourth Proportional to 462,518.88, 638,194.44 and 258,504.58

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Solution

The fourth proportional to 462,518.88, 638,194.44 and 258,504.58 is: 356,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,518.88 : 638,194.44 = 258,504.58 : x
  2. Step 2: Convert to fraction form
    462,518.88/638,194.44 = 258,504.58/x
  3. Step 3: Cross multiply
    462,518.88x = 638,194.44 × 258,504.58
  4. Step 4: Simplify right side
    462,518.88x = 164,976,185,670.54
  5. Step 5: Solve for x
    x = 164,976,185,670.54/462,518.88
  6. Step 6: Final answer
    x = 356,690.71

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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.