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Finding the Fourth Proportional to 515,708.99, 711,690.68 and 289,371.23

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Solution

The fourth proportional to 515,708.99, 711,690.68 and 289,371.23 is: 399,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,708.99 : 711,690.68 = 289,371.23 : x
  2. Step 2: Convert to fraction form
    515,708.99/711,690.68 = 289,371.23/x
  3. Step 3: Cross multiply
    515,708.99x = 711,690.68 × 289,371.23
  4. Step 4: Simplify right side
    515,708.99x = 205,942,807,451.14
  5. Step 5: Solve for x
    x = 205,942,807,451.14/515,708.99
  6. Step 6: Final answer
    x = 399,339.18

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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.