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Finding the Fourth Proportional to 462,687.75, 638,504.66 and 258,736.32

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Solution

The fourth proportional to 462,687.75, 638,504.66 and 258,736.32 is: 357,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,687.75 : 638,504.66 = 258,736.32 : x
  2. Step 2: Convert to fraction form
    462,687.75/638,504.66 = 258,736.32/x
  3. Step 3: Cross multiply
    462,687.75x = 638,504.66 × 258,736.32
  4. Step 4: Simplify right side
    462,687.75x = 165,204,346,678.09
  5. Step 5: Solve for x
    x = 165,204,346,678.09/462,687.75
  6. Step 6: Final answer
    x = 357,053.64

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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.