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Finding the Fourth Proportional to 462,871.41, 638,759.60 and 258,921.36

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Solution

The fourth proportional to 462,871.41, 638,759.60 and 258,921.36 is: 357,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,871.41 : 638,759.60 = 258,921.36 : x
  2. Step 2: Convert to fraction form
    462,871.41/638,759.60 = 258,921.36/x
  3. Step 3: Cross multiply
    462,871.41x = 638,759.60 × 258,921.36
  4. Step 4: Simplify right side
    462,871.41x = 165,388,503,293.19
  5. Step 5: Solve for x
    x = 165,388,503,293.19/462,871.41
  6. Step 6: Final answer
    x = 357,309.83

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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.