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Finding the Fourth Proportional to 652,993.20, 978,177.60 and 440,416.80

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Solution

The fourth proportional to 652,993.20, 978,177.60 and 440,416.80 is: 659,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,993.20 : 978,177.60 = 440,416.80 : x
  2. Step 2: Convert to fraction form
    652,993.20/978,177.60 = 440,416.80/x
  3. Step 3: Cross multiply
    652,993.20x = 978,177.60 × 440,416.80
  4. Step 4: Simplify right side
    652,993.20x = 430,805,848,423.68
  5. Step 5: Solve for x
    x = 430,805,848,423.68/652,993.20
  6. Step 6: Final answer
    x = 659,740.18

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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.