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Finding the Fourth Proportional to 517,353.12, 713,940 and 290,998.56

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Solution

The fourth proportional to 517,353.12, 713,940 and 290,998.56 is: 401,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,353.12 : 713,940 = 290,998.56 : x
  2. Step 2: Convert to fraction form
    517,353.12/713,940 = 290,998.56/x
  3. Step 3: Cross multiply
    517,353.12x = 713,940 × 290,998.56
  4. Step 4: Simplify right side
    517,353.12x = 207,755,511,926.40
  5. Step 5: Solve for x
    x = 207,755,511,926.40/517,353.12
  6. Step 6: Final answer
    x = 401,573.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.