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Finding the Fourth Proportional to 517,057.12, 775,167.30 and 232,539.30

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Solution

The fourth proportional to 517,057.12, 775,167.30 and 232,539.30 is: 348,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,057.12 : 775,167.30 = 232,539.30 : x
  2. Step 2: Convert to fraction form
    517,057.12/775,167.30 = 232,539.30/x
  3. Step 3: Cross multiply
    517,057.12x = 775,167.30 × 232,539.30
  4. Step 4: Simplify right side
    517,057.12x = 180,256,861,324.89
  5. Step 5: Solve for x
    x = 180,256,861,324.89/517,057.12
  6. Step 6: Final answer
    x = 348,620.79

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Why These Related Problems?

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