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Finding the Fourth Proportional to 652,149.40, 978,224.10 and 423,826.60

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Solution

The fourth proportional to 652,149.40, 978,224.10 and 423,826.60 is: 635,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,149.40 : 978,224.10 = 423,826.60 : x
  2. Step 2: Convert to fraction form
    652,149.40/978,224.10 = 423,826.60/x
  3. Step 3: Cross multiply
    652,149.40x = 978,224.10 × 423,826.60
  4. Step 4: Simplify right side
    652,149.40x = 414,597,394,341.06
  5. Step 5: Solve for x
    x = 414,597,394,341.06/652,149.40
  6. Step 6: Final answer
    x = 635,739.90

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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.