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Finding the Fourth Proportional to 649,324.20, 972,236.70 and 509,356.20

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Solution

The fourth proportional to 649,324.20, 972,236.70 and 509,356.20 is: 762,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,324.20 : 972,236.70 = 509,356.20 : x
  2. Step 2: Convert to fraction form
    649,324.20/972,236.70 = 509,356.20/x
  3. Step 3: Cross multiply
    649,324.20x = 972,236.70 × 509,356.20
  4. Step 4: Simplify right side
    649,324.20x = 495,214,791,012.54
  5. Step 5: Solve for x
    x = 495,214,791,012.54/649,324.20
  6. Step 6: Final answer
    x = 762,661.84

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