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Finding the Fourth Proportional to 649,208.20, 972,062.70 and 509,240.20

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Solution

The fourth proportional to 649,208.20, 972,062.70 and 509,240.20 is: 762,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,208.20 : 972,062.70 = 509,240.20 : x
  2. Step 2: Convert to fraction form
    649,208.20/972,062.70 = 509,240.20/x
  3. Step 3: Cross multiply
    649,208.20x = 972,062.70 × 509,240.20
  4. Step 4: Simplify right side
    649,208.20x = 495,013,403,760.54
  5. Step 5: Solve for x
    x = 495,013,403,760.54/649,208.20
  6. Step 6: Final answer
    x = 762,487.91

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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.