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Finding the Fourth Proportional to 517,355.68, 713,960.40 and 287,932

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Solution

The fourth proportional to 517,355.68, 713,960.40 and 287,932 is: 397,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,355.68 : 713,960.40 = 287,932 : x
  2. Step 2: Convert to fraction form
    517,355.68/713,960.40 = 287,932/x
  3. Step 3: Cross multiply
    517,355.68x = 713,960.40 × 287,932
  4. Step 4: Simplify right side
    517,355.68x = 205,572,045,892.80
  5. Step 5: Solve for x
    x = 205,572,045,892.80/517,355.68
  6. Step 6: Final answer
    x = 397,351.48

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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.