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Finding the Fourth Proportional to 652,114.20, 978,171.30 and 403,282.20

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Solution

The fourth proportional to 652,114.20, 978,171.30 and 403,282.20 is: 604,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,114.20 : 978,171.30 = 403,282.20 : x
  2. Step 2: Convert to fraction form
    652,114.20/978,171.30 = 403,282.20/x
  3. Step 3: Cross multiply
    652,114.20x = 978,171.30 × 403,282.20
  4. Step 4: Simplify right side
    652,114.20x = 394,479,073,840.86
  5. Step 5: Solve for x
    x = 394,479,073,840.86/652,114.20
  6. Step 6: Final answer
    x = 604,923.30

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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.