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Finding the Fourth Proportional to 513,922.34, 770,905.11 and 158,943.08

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Solution

The fourth proportional to 513,922.34, 770,905.11 and 158,943.08 is: 238,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,922.34 : 770,905.11 = 158,943.08 : x
  2. Step 2: Convert to fraction form
    513,922.34/770,905.11 = 158,943.08/x
  3. Step 3: Cross multiply
    513,922.34x = 770,905.11 × 158,943.08
  4. Step 4: Simplify right side
    513,922.34x = 122,530,028,716.61
  5. Step 5: Solve for x
    x = 122,530,028,716.61/513,922.34
  6. Step 6: Final answer
    x = 238,421.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.