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Finding the Fourth Proportional to 513,010.47, 707,942.06 and 280,427.07

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Solution

The fourth proportional to 513,010.47, 707,942.06 and 280,427.07 is: 386,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,010.47 : 707,942.06 = 280,427.07 : x
  2. Step 2: Convert to fraction form
    513,010.47/707,942.06 = 280,427.07/x
  3. Step 3: Cross multiply
    513,010.47x = 707,942.06 × 280,427.07
  4. Step 4: Simplify right side
    513,010.47x = 198,526,116,213.43
  5. Step 5: Solve for x
    x = 198,526,116,213.43/513,010.47
  6. Step 6: Final answer
    x = 386,982.58

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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.