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Finding the Fourth Proportional to 664,284.30, 996,523.65 and 214,928.70

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Solution

The fourth proportional to 664,284.30, 996,523.65 and 214,928.70 is: 322,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,284.30 : 996,523.65 = 214,928.70 : x
  2. Step 2: Convert to fraction form
    664,284.30/996,523.65 = 214,928.70/x
  3. Step 3: Cross multiply
    664,284.30x = 996,523.65 × 214,928.70
  4. Step 4: Simplify right side
    664,284.30x = 214,181,532,613.76
  5. Step 5: Solve for x
    x = 214,181,532,613.76/664,284.30
  6. Step 6: Final answer
    x = 322,424.50

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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.