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Finding the Fourth Proportional to 652,224.20, 978,336.30 and 439,647.80

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Solution

The fourth proportional to 652,224.20, 978,336.30 and 439,647.80 is: 659,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,224.20 : 978,336.30 = 439,647.80 : x
  2. Step 2: Convert to fraction form
    652,224.20/978,336.30 = 439,647.80/x
  3. Step 3: Cross multiply
    652,224.20x = 978,336.30 × 439,647.80
  4. Step 4: Simplify right side
    652,224.20x = 430,123,401,955.14
  5. Step 5: Solve for x
    x = 430,123,401,955.14/652,224.20
  6. Step 6: Final answer
    x = 659,471.70

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Why These Related Problems?

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