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Finding the Fourth Proportional to 515,708.50, 711,690 and 289,370.74

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Solution

The fourth proportional to 515,708.50, 711,690 and 289,370.74 is: 399,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,708.50 : 711,690 = 289,370.74 : x
  2. Step 2: Convert to fraction form
    515,708.50/711,690 = 289,370.74/x
  3. Step 3: Cross multiply
    515,708.50x = 711,690 × 289,370.74
  4. Step 4: Simplify right side
    515,708.50x = 205,942,261,950.60
  5. Step 5: Solve for x
    x = 205,942,261,950.60/515,708.50
  6. Step 6: Final answer
    x = 399,338.51

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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.