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Finding the Fourth Proportional to 462,819.06, 638,749.44 and 258,881.31

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Solution

The fourth proportional to 462,819.06, 638,749.44 and 258,881.31 is: 357,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,819.06 : 638,749.44 = 258,881.31 : x
  2. Step 2: Convert to fraction form
    462,819.06/638,749.44 = 258,881.31/x
  3. Step 3: Cross multiply
    462,819.06x = 638,749.44 × 258,881.31
  4. Step 4: Simplify right side
    462,819.06x = 165,360,291,788.97
  5. Step 5: Solve for x
    x = 165,360,291,788.97/462,819.06
  6. Step 6: Final answer
    x = 357,289.29

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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.