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Finding the Fourth Proportional to 687,782.50, 949,227.36 and 385,976.50

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Solution

The fourth proportional to 687,782.50, 949,227.36 and 385,976.50 is: 532,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,782.50 : 949,227.36 = 385,976.50 : x
  2. Step 2: Convert to fraction form
    687,782.50/949,227.36 = 385,976.50/x
  3. Step 3: Cross multiply
    687,782.50x = 949,227.36 × 385,976.50
  4. Step 4: Simplify right side
    687,782.50x = 366,379,454,117.04
  5. Step 5: Solve for x
    x = 366,379,454,117.04/687,782.50
  6. Step 6: Final answer
    x = 532,696.68

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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.