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Finding the Fourth Proportional to 462,834.26, 638,770.40 and 258,896.51

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Solution

The fourth proportional to 462,834.26, 638,770.40 and 258,896.51 is: 357,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,834.26 : 638,770.40 = 258,896.51 : x
  2. Step 2: Convert to fraction form
    462,834.26/638,770.40 = 258,896.51/x
  3. Step 3: Cross multiply
    462,834.26x = 638,770.40 × 258,896.51
  4. Step 4: Simplify right side
    462,834.26x = 165,375,427,251.30
  5. Step 5: Solve for x
    x = 165,375,427,251.30/462,834.26
  6. Step 6: Final answer
    x = 357,310.25

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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.