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Finding the Fourth Proportional to 649,235.20, 972,103.20 and 509,267.20

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Solution

The fourth proportional to 649,235.20, 972,103.20 and 509,267.20 is: 762,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,235.20 : 972,103.20 = 509,267.20 : x
  2. Step 2: Convert to fraction form
    649,235.20/972,103.20 = 509,267.20/x
  3. Step 3: Cross multiply
    649,235.20x = 972,103.20 × 509,267.20
  4. Step 4: Simplify right side
    649,235.20x = 495,060,274,775.04
  5. Step 5: Solve for x
    x = 495,060,274,775.04/649,235.20
  6. Step 6: Final answer
    x = 762,528.39

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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.