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Finding the Fourth Proportional to 465,780.60, 642,845.16 and 261,848.34

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Solution

The fourth proportional to 465,780.60, 642,845.16 and 261,848.34 is: 361,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,780.60 : 642,845.16 = 261,848.34 : x
  2. Step 2: Convert to fraction form
    465,780.60/642,845.16 = 261,848.34/x
  3. Step 3: Cross multiply
    465,780.60x = 642,845.16 × 261,848.34
  4. Step 4: Simplify right side
    465,780.60x = 168,327,938,023.03
  5. Step 5: Solve for x
    x = 168,327,938,023.03/465,780.60
  6. Step 6: Final answer
    x = 361,388.90

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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.