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Finding the Fourth Proportional to 652,108.20, 978,162.30 and 403,276.20

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Solution

The fourth proportional to 652,108.20, 978,162.30 and 403,276.20 is: 604,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,108.20 : 978,162.30 = 403,276.20 : x
  2. Step 2: Convert to fraction form
    652,108.20/978,162.30 = 403,276.20/x
  3. Step 3: Cross multiply
    652,108.20x = 978,162.30 × 403,276.20
  4. Step 4: Simplify right side
    652,108.20x = 394,469,575,327.26
  5. Step 5: Solve for x
    x = 394,469,575,327.26/652,108.20
  6. Step 6: Final answer
    x = 604,914.30

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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.