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Finding the Fourth Proportional to 649,323.20, 972,235.20 and 509,355.20

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Solution

The fourth proportional to 649,323.20, 972,235.20 and 509,355.20 is: 762,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,323.20 : 972,235.20 = 509,355.20 : x
  2. Step 2: Convert to fraction form
    649,323.20/972,235.20 = 509,355.20/x
  3. Step 3: Cross multiply
    649,323.20x = 972,235.20 × 509,355.20
  4. Step 4: Simplify right side
    649,323.20x = 495,213,054,743.04
  5. Step 5: Solve for x
    x = 495,213,054,743.04/649,323.20
  6. Step 6: Final answer
    x = 762,660.34

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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.