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Finding the Fourth Proportional to 462,853.73, 638,708.08 and 258,869.33

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Solution

The fourth proportional to 462,853.73, 638,708.08 and 258,869.33 is: 357,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,853.73 : 638,708.08 = 258,869.33 : x
  2. Step 2: Convert to fraction form
    462,853.73/638,708.08 = 258,869.33/x
  3. Step 3: Cross multiply
    462,853.73x = 638,708.08 × 258,869.33
  4. Step 4: Simplify right side
    462,853.73x = 165,341,932,735.19
  5. Step 5: Solve for x
    x = 165,341,932,735.19/462,853.73
  6. Step 6: Final answer
    x = 357,222.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.