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Finding the Fourth Proportional to 462,724.56, 638,556.30 and 258,775.80

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Solution

The fourth proportional to 462,724.56, 638,556.30 and 258,775.80 is: 357,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,724.56 : 638,556.30 = 258,775.80 : x
  2. Step 2: Convert to fraction form
    462,724.56/638,556.30 = 258,775.80/x
  3. Step 3: Cross multiply
    462,724.56x = 638,556.30 × 258,775.80
  4. Step 4: Simplify right side
    462,724.56x = 165,242,917,377.54
  5. Step 5: Solve for x
    x = 165,242,917,377.54/462,724.56
  6. Step 6: Final answer
    x = 357,108.59

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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.