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Finding the Fourth Proportional to 664,284.40, 996,523.80 and 348,765.10

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Solution

The fourth proportional to 664,284.40, 996,523.80 and 348,765.10 is: 523,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,284.40 : 996,523.80 = 348,765.10 : x
  2. Step 2: Convert to fraction form
    664,284.40/996,523.80 = 348,765.10/x
  3. Step 3: Cross multiply
    664,284.40x = 996,523.80 × 348,765.10
  4. Step 4: Simplify right side
    664,284.40x = 347,552,722,759.38
  5. Step 5: Solve for x
    x = 347,552,722,759.38/664,284.40
  6. Step 6: Final answer
    x = 523,198.68

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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.